Q: What are the prime factors of the number 938,650?

 A: 2, 5, 18773

Why are those the prime factors of the number 938,650?

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 938,650

938,650
Factor Arrows
2469,325
Factor Arrows
593,865
Factor Arrows
518,773

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, 5, 18773

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 18,773 = 938,650

This can also be written as 21 x 52 x 18,7731 = 938,650

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


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