Q: What are the prime factors of the number 321,750,737?

 A: 7, 11, 29, 13099

Why are those the prime factors of the number 321,750,737?

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 321,750,737

321,750,737
Factor Arrows
745,964,391
Factor Arrows
114,178,581
Factor Arrows
11379,871
Factor Arrows
2913,099

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:

7, 11, 29, 13099

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 29 x 13,099 = 321,750,737

This can also be written as 71 x 112 x 291 x 13,0991 = 321,750,737

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


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