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52 Cards in this Set
- Front
- Back
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What are integers?
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They are whole numbers that have no fractional part. They are non fractional and non decimal.
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When is an integer said to be divisible?
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When it has no remainder. R=0
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When is an integer said to be divisble by 2?
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When it is an even integer.
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When is an integer said to be divisble by 3?
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When the sum of its digits are divisible by 3
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When is an integer said to be divisble by 4?
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When it is divisible by 2 two times.
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When is an integer said to be divisble by 5?
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When the units place has either a 5 or a zero.
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When is an integer said to be divisble by 6?
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When the number is divisible by both 3 and 2
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When is an integer said to be divisble by 8?
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When it is divisible 3 times.
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When is an integer said to be divisble by 9?
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When the sum of the digits is divisible by 9.
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When is an integer said to be divisble by 10?
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When the units place is a zero.
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When is an integer said to be divisble by 11?
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??
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What phrase to use to differentiate factors vs multiples?
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Fewer factors and more multiples.
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What happens if you add or subtract a multiple of N with another multiple of N?
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The resulting value is a multiple of N.
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What happens if you add or subtract a multiple of N with a non-multiple of N?
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The resulting value is a non multiple of N.
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What happens if you add or subtract a non multiple of N with a non-multiple of N?
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It is either a multiple or non multiple of N.
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What type of numbers can be factorized into primes?
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Integers
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Can all integers be prime factorized?
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Yes.
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How to find out the GCF and LCM using Venn diagrams?
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refer to pg .. ?
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How to find out the GCF and LCM using prime columns?
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?
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What is result of multiplying the GCF and LCM of two numbers, m and n?
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m*n.
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How many factors do perfect squares have?
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Odd number of TOTAL factors - including prime factors.
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What sort of integers have an odd number of total factors?
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Perfect squares of integers.
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How to calculate total number of factors for an integer?
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Break the integer down to the exponential representation of its primes and then add the powers of each primes with one and then multiply all the powers plus one together.
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How many prime factors are present for a perfect square?
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An even number of primes. The powers of the primes will be even.
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What is the formula to represent the dividend in terms of the divisor, remainder and quotient
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x = Q*N + R where x is the dividend, q is the quotient, n is the divisor and r is the remainder.
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What is the relationship between a remainder and the dividend?
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The remainder if any +ve integer N has to be +Ve integer and lesser than the number N.
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What is the range of a remainder with respect to a dividend N?
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1 to (N-1)
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What will be the remainder of the sum of two numbers x and y.
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The remainder will be the sum of the remainder of x and the remainder of y divided by the same divisor
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What to do when the remainder calculated is more than the dividend?
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Then subtract the dividend with the remainder to get the final remainder.
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Is the LCM of any two integers greater than, equal to or lesser than the integers?
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It is at least as large as any one of the integers.
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If LCM of a and 12 is 36, what are the possible values of a?
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1) 3
2) 3*2 3)3*2square. |
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How to solve the question: If a is divisible by 7 and 18, is a/42 an integer?
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The question can be re worded as "is a divisible by 42?"
1) The combination of primes in 7 and 18 should be present in 42. The primes are 2,3,3,7 |
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How to determine if an integer is a factor of another integer?
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If the product of its primes is a factor of that integer.
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When trying to determine whether an integer can be a factor/divisible by another number, what rule to keep in mind?
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1) All the factors and its powers must be accounted for. If even one is missing, the answer cannot be determined
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If two numbers are a multiple of N, what about the sum of the two numbers?
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It is also a multiple of N
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How do you identify if a number that is a factor of two other numbers is a factor of current number? e.g. if j is a factor of 12 and 10, is it a factor of 24?
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1) Take the maximum number of common primes
2) Take the maximum number of independent primes 3) The primes of the number to be tested should all be accounted for in the consolidated list. |
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What is GCF in terms of factors?
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It is a the product of all shared factors.
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What is the GCF of consecutive multiples of N?
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N itself.
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What is the length of an integer?
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The total number of prime factors.
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How to make 2 integers not divisible by 2 to become divisible by 2?
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Add or subtract them.
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Odd + Odd
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Even
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Odd - Odd
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Even
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Odd + Even
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Odd
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Odd - Even
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Odd
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Odd * Odd
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Odd
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Odd * Even
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Even
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Odd / Even
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Non integer.
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Even * Even
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Even
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Even + Even
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Even
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Even - Even
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Even
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Even / Odd
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Either odd or even
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What remainder do u get when an odd integer is divided by 2?
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1
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