Q: What are the prime factors of the number 15,642,795?

 A: 3, 5, 7, 19, 7841

Why are those the prime factors of the number 15,642,795?

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 15,642,795

15,642,795
Factor Arrows
35,214,265
Factor Arrows
51,042,853
Factor Arrows
7148,979
Factor Arrows
197,841

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:

3, 5, 7, 19, 7841

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 19 x 7,841 = 15,642,795

This can also be written as 31 x 51 x 71 x 191 x 7,8411 = 15,642,795

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


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