Q: What are the prime factors of the number 10,010,520?

 A: 2, 3, 5, 13, 23, 31

Why are those the prime factors of the number 10,010,520?

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 10,010,520

10,010,520
Factor Arrows
25,005,260
Factor Arrows
22,502,630
Factor Arrows
21,251,315
Factor Arrows
3417,105
Factor Arrows
3139,035
Factor Arrows
346,345
Factor Arrows
59,269
Factor Arrows
13713
Factor Arrows
2331

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, 13, 23, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 23 x 31 = 10,010,520

This can also be written as 23 x 33 x 51 x 131 x 231 x 311 = 10,010,520

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


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