Q: What are the prime factors of the number 3,730,528?

 A: 2, 116579

Why are those the prime factors of the number 3,730,528?

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 3,730,528

3,730,528
Factor Arrows
21,865,264
Factor Arrows
2932,632
Factor Arrows
2466,316
Factor Arrows
2233,158
Factor Arrows
2116,579

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, 116579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 116,579 = 3,730,528

This can also be written as 25 x 116,5791 = 3,730,528

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


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