Q: What are the prime factors of the number 352,550,847?

 A: 3, 11, 113, 94543

Why are those the prime factors of the number 352,550,847?

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 352,550,847

352,550,847
Factor Arrows
3117,516,949
Factor Arrows
1110,683,359
Factor Arrows
11394,543

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, 11, 113, 94543

We can check our work by multiplying all of the prime factors together: 3 x 11 x 113 x 94,543 = 352,550,847

This can also be written as 31 x 111 x 1131 x 94,5431 = 352,550,847

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


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