Q: What are the prime factors of the number 10,124,360?

 A: 2, 5, 253109

Why are those the prime factors of the number 10,124,360?

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 10,124,360

10,124,360
Factor Arrows
25,062,180
Factor Arrows
22,531,090
Factor Arrows
21,265,545
Factor Arrows
5253,109

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, 253109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 253,109 = 10,124,360

This can also be written as 23 x 51 x 253,1091 = 10,124,360

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


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