Q: What are the prime factors of the number 10,006,140?

 A: 2, 3, 5, 79, 2111

Why are those the prime factors of the number 10,006,140?

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 10,006,140

10,006,140
Factor Arrows
25,003,070
Factor Arrows
22,501,535
Factor Arrows
3833,845
Factor Arrows
5166,769
Factor Arrows
792,111

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, 79, 2111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 79 x 2,111 = 10,006,140

This can also be written as 22 x 31 x 51 x 791 x 2,1111 = 10,006,140

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


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