Q: What are the prime factors of the number 43,607,403?

 A: 3, 7, 10987

Why are those the prime factors of the number 43,607,403?

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 43,607,403

43,607,403
Factor Arrows
314,535,801
Factor Arrows
34,845,267
Factor Arrows
31,615,089
Factor Arrows
3538,363
Factor Arrows
776,909
Factor Arrows
710,987

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, 7, 10987

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 7 x 10,987 = 43,607,403

This can also be written as 34 x 72 x 10,9871 = 43,607,403

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


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