Q: What are the prime factors of the number 4,515,546?

 A: 2, 3, 7, 15359

Why are those the prime factors of the number 4,515,546?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 4,515,546

4,515,546
Factor Arrows
22,257,773
Factor Arrows
3752,591
Factor Arrows
7107,513
Factor Arrows
715,359

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 15359

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 15,359 = 4,515,546

This can also be written as 21 x 31 x 72 x 15,3591 = 4,515,546

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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