Identifying a Common Divisor
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8. All numbers divisible by 6 and 14 are also divisible by which of the following numbers? A. 8 B. 12 C. 21 D. 28 E. 32
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Hi Rebec, let's solve this problem together.
Finding the Common Divisor
We need to find a number that divides any number divisible by both 6 and 14. This is equivalent to finding the Least Common Multiple of 6 and 14.
First, let's write out the prime factorization for each number. 6 is 2 times 3.
And 14 is 2 times 7.
To find the Least Common Multiple, we take the highest power of each prime factor present. We have 2, 3, and 7.
The prime factors are 2, 3, and 7.
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