Q: What are the prime factors of the number 63,031,360?

 A: 2, 5, 7, 19, 1481

Why are those the prime factors of the number 63,031,360?

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 63,031,360

63,031,360
Factor Arrows
231,515,680
Factor Arrows
215,757,840
Factor Arrows
27,878,920
Factor Arrows
23,939,460
Factor Arrows
21,969,730
Factor Arrows
2984,865
Factor Arrows
5196,973
Factor Arrows
728,139
Factor Arrows
191,481

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, 5, 7, 19, 1481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 1,481 = 63,031,360

This can also be written as 26 x 51 x 71 x 191 x 1,4811 = 63,031,360

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


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