Q: What are the prime factors of the number 6,210,528?

 A: 2, 3, 64693

Why are those the prime factors of the number 6,210,528?

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 6,210,528

6,210,528
Factor Arrows
23,105,264
Factor Arrows
21,552,632
Factor Arrows
2776,316
Factor Arrows
2388,158
Factor Arrows
2194,079
Factor Arrows
364,693

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, 64693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 64,693 = 6,210,528

This can also be written as 25 x 31 x 64,6931 = 6,210,528

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


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