Q: What are the prime factors of the number 63,080,742?

 A: 2, 3, 29, 43, 8431

Why are those the prime factors of the number 63,080,742?

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 63,080,742

63,080,742
Factor Arrows
231,540,371
Factor Arrows
310,513,457
Factor Arrows
29362,533
Factor Arrows
438,431

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, 29, 43, 8431

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 43 x 8,431 = 63,080,742

This can also be written as 21 x 31 x 291 x 431 x 8,4311 = 63,080,742

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


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