Q: What are the prime factors of the number 481,564,882?

 A: 2, 17, 79, 179287

Why are those the prime factors of the number 481,564,882?

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 481,564,882

481,564,882
Factor Arrows
2240,782,441
Factor Arrows
1714,163,673
Factor Arrows
79179,287

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, 17, 79, 179287

We can check our work by multiplying all of the prime factors together: 2 x 17 x 79 x 179,287 = 481,564,882

This can also be written as 21 x 171 x 791 x 179,2871 = 481,564,882

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


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