Q: What are the prime factors of the number 12,007,620?

 A: 2, 3, 5, 19, 3511

Why are those the prime factors of the number 12,007,620?

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 12,007,620

12,007,620
Factor Arrows
26,003,810
Factor Arrows
23,001,905
Factor Arrows
31,000,635
Factor Arrows
3333,545
Factor Arrows
566,709
Factor Arrows
193,511

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, 19, 3511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 19 x 3,511 = 12,007,620

This can also be written as 22 x 32 x 51 x 191 x 3,5111 = 12,007,620

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


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