Q: What are the prime factors of the number 10,301,232?

 A: 2, 3, 317, 677

Why are those the prime factors of the number 10,301,232?

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 10,301,232

10,301,232
Factor Arrows
25,150,616
Factor Arrows
22,575,308
Factor Arrows
21,287,654
Factor Arrows
2643,827
Factor Arrows
3214,609
Factor Arrows
317677

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, 317, 677

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 317 x 677 = 10,301,232

This can also be written as 24 x 31 x 3171 x 6771 = 10,301,232

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


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