Q: What are the prime factors of the number 10,651,160?

 A: 2, 5, 13, 20483

Why are those the prime factors of the number 10,651,160?

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 10,651,160

10,651,160
Factor Arrows
25,325,580
Factor Arrows
22,662,790
Factor Arrows
21,331,395
Factor Arrows
5266,279
Factor Arrows
1320,483

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, 13, 20483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 20,483 = 10,651,160

This can also be written as 23 x 51 x 131 x 20,4831 = 10,651,160

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


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