Q: What are the prime factors of the number 8,572,920?

 A: 2, 3, 5, 199, 359

Why are those the prime factors of the number 8,572,920?

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 8,572,920

8,572,920
Factor Arrows
24,286,460
Factor Arrows
22,143,230
Factor Arrows
21,071,615
Factor Arrows
3357,205
Factor Arrows
571,441
Factor Arrows
199359

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, 5, 199, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 199 x 359 = 8,572,920

This can also be written as 23 x 31 x 51 x 1991 x 3591 = 8,572,920

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


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