Q: What are the prime factors of the number 930,392?

 A: 2, 19, 6121

Why are those the prime factors of the number 930,392?

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 930,392

930,392
Factor Arrows
2465,196
Factor Arrows
2232,598
Factor Arrows
2116,299
Factor Arrows
196,121

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, 19, 6121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 6,121 = 930,392

This can also be written as 23 x 191 x 6,1211 = 930,392

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


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