Q: What are the prime factors of the number 10,010,380?

 A: 2, 5, 500519

Why are those the prime factors of the number 10,010,380?

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 10,010,380

10,010,380
Factor Arrows
25,005,190
Factor Arrows
22,502,595
Factor Arrows
5500,519

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, 5, 500519

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 500,519 = 10,010,380

This can also be written as 22 x 51 x 500,5191 = 10,010,380

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


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