Q: What are the prime factors of the number 63,461,352?

 A: 2, 3, 53, 49891

Why are those the prime factors of the number 63,461,352?

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 63,461,352

63,461,352
Factor Arrows
231,730,676
Factor Arrows
215,865,338
Factor Arrows
27,932,669
Factor Arrows
32,644,223
Factor Arrows
5349,891

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, 53, 49891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 53 x 49,891 = 63,461,352

This can also be written as 23 x 31 x 531 x 49,8911 = 63,461,352

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


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