Q: What are the prime factors of the number 4,291,470?

 A: 2, 3, 5, 41, 1163

Why are those the prime factors of the number 4,291,470?

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 4,291,470

4,291,470
Factor Arrows
22,145,735
Factor Arrows
3715,245
Factor Arrows
3238,415
Factor Arrows
547,683
Factor Arrows
411,163

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, 41, 1163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 41 x 1,163 = 4,291,470

This can also be written as 21 x 32 x 51 x 411 x 1,1631 = 4,291,470

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


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