Divisibility Flashcards

0
Q

T/F

if A is divisible by B, and B is divisible by C, A is divisible by C

A

True

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1
Q
Divisibility rules. An integer is divisible by
2
3
5
9
10
A

2: if the integer is even
3: if the sum of the integer’s digits is a multiple of 3
5: if the integers ends in 0 or 5
9: if the sum of the integer’s digits is a multiple of 9
10: if the integer ends with 0

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2
Q

T/F

If Dhas E & F as prime factor, D is divisible by E X F

A

True

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3
Q

If you know two factors of X that have no primes in common. Then you….

( ex: 3 & 10, 10 has 2 and 5 as factors)

A

Combine the two trees into one

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4
Q

Complete the sentence: If X is divisible by A & B, then X is divisible by the _________ of A & B, no matter what

A

least common multiple (LCM)

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5
Q

Complete the sentences:

Qhen twi numbers don’t share prine factors, their LCM is just their_______

When two numbers share prime factors, their LCM will be ________ than their ________

A

product

smaller, product

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6
Q

What you do to find the LCM of N given numbers

A

You need to find the prime factors of each number and you take the highest repetition of prime factor of each number (ex: Y has three 2s, Z has five 2s, so we use five twos)

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7
Q

if X definitly contains a 2 and a 3. And Y definitly contains two 3’s.
XY definitly contains

A

a 3 and three 3’s! Here we

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8
Q

what is the average and the median of a set of consecutive number

and the sum of consecutive interger

A

the median and the mean are the same

the sum is the mean time the number of terms

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