Q: What are the prime factors of the number 314,043,303?

 A: 3, 7, 263, 8123

Why are those the prime factors of the number 314,043,303?

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 314,043,303

314,043,303
Factor Arrows
3104,681,101
Factor Arrows
714,954,443
Factor Arrows
72,136,349
Factor Arrows
2638,123

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, 7, 263, 8123

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 263 x 8,123 = 314,043,303

This can also be written as 31 x 72 x 2631 x 8,1231 = 314,043,303

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


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