Q: What are the prime factors of the number 47,691,570?

 A: 2, 3, 5, 1589719

Why are those the prime factors of the number 47,691,570?

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 47,691,570

47,691,570
Factor Arrows
223,845,785
Factor Arrows
37,948,595
Factor Arrows
51,589,719

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, 1589719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 1,589,719 = 47,691,570

This can also be written as 21 x 31 x 51 x 1,589,7191 = 47,691,570

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


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