Q: What are the prime factors of the number 40,670,799?

 A: 3, 13, 653, 1597

Why are those the prime factors of the number 40,670,799?

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 40,670,799

40,670,799
Factor Arrows
313,556,933
Factor Arrows
131,042,841
Factor Arrows
6531,597

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, 13, 653, 1597

We can check our work by multiplying all of the prime factors together: 3 x 13 x 653 x 1,597 = 40,670,799

This can also be written as 31 x 131 x 6531 x 1,5971 = 40,670,799

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


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