Q: What are the prime factors of the number 391,232?

 A: 2, 6113

Why are those the prime factors of the number 391,232?

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 391,232

391,232
Factor Arrows
2195,616
Factor Arrows
297,808
Factor Arrows
248,904
Factor Arrows
224,452
Factor Arrows
212,226
Factor Arrows
26,113

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, 6113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 6,113 = 391,232

This can also be written as 26 x 6,1131 = 391,232

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


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