Q: What are the prime factors of the number 426,633,063?

 A: 3, 97, 167, 8779

Why are those the prime factors of the number 426,633,063?

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 426,633,063

426,633,063
Factor Arrows
3142,211,021
Factor Arrows
971,466,093
Factor Arrows
1678,779

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, 97, 167, 8779

We can check our work by multiplying all of the prime factors together: 3 x 97 x 167 x 8,779 = 426,633,063

This can also be written as 31 x 971 x 1671 x 8,7791 = 426,633,063

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


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