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Multiplication is a commutative operation. That means that A x B = B x A.

For example we can use 210.

210/2 = 105 210/7 = 30

105/3 = 35 30/5 = 6

35/5 = 7 6/3 =2

7/7 = 1 2/2=1

210 = 2 x 3 x 5 X 7 = 7 x 5 x 3 x 2

So from a purely mathematical stand point no it doesn't. However when I am trying to factor a number the first thing I generally check is, if it is divisible by 2 or 5 since I only have to check to see if the last digit is either even, or if the last digit is 5 or 0.

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Q: Does starting with different numbers make any difference in the prime factorization?
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