Q: What are the prime factors of the number 15,770,808?

 A: 2, 3, 73013

Why are those the prime factors of the number 15,770,808?

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 15,770,808

15,770,808
Factor Arrows
27,885,404
Factor Arrows
23,942,702
Factor Arrows
21,971,351
Factor Arrows
3657,117
Factor Arrows
3219,039
Factor Arrows
373,013

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, 73013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 73,013 = 15,770,808

This can also be written as 23 x 33 x 73,0131 = 15,770,808

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


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