Q: What are the prime factors of the number 331,628,583?

 A: 3, 11, 13, 773027

Why are those the prime factors of the number 331,628,583?

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 331,628,583

331,628,583
Factor Arrows
3110,542,861
Factor Arrows
1110,049,351
Factor Arrows
13773,027

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, 13, 773027

We can check our work by multiplying all of the prime factors together: 3 x 11 x 13 x 773,027 = 331,628,583

This can also be written as 31 x 111 x 131 x 773,0271 = 331,628,583

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


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