Q: What are the prime factors of the number 938,286?

 A: 2, 3, 52127

Why are those the prime factors of the number 938,286?

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 938,286

938,286
Factor Arrows
2469,143
Factor Arrows
3156,381
Factor Arrows
352,127

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, 3, 52127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 52,127 = 938,286

This can also be written as 21 x 32 x 52,1271 = 938,286

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


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