Q: What are the prime factors of the number 63,530,271?

 A: 3, 7, 29, 67, 173

Why are those the prime factors of the number 63,530,271?

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 63,530,271

63,530,271
Factor Arrows
321,176,757
Factor Arrows
37,058,919
Factor Arrows
32,352,973
Factor Arrows
7336,139
Factor Arrows
2911,591
Factor Arrows
67173

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, 29, 67, 173

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 29 x 67 x 173 = 63,530,271

This can also be written as 33 x 71 x 291 x 671 x 1731 = 63,530,271

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


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