Q: What are the prime factors of the number 40,136,670?

 A: 2, 3, 5, 7, 63709

Why are those the prime factors of the number 40,136,670?

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 40,136,670

40,136,670
Factor Arrows
220,068,335
Factor Arrows
36,689,445
Factor Arrows
32,229,815
Factor Arrows
5445,963
Factor Arrows
763,709

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, 7, 63709

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 63,709 = 40,136,670

This can also be written as 21 x 32 x 51 x 71 x 63,7091 = 40,136,670

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


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