Q: What are the prime factors of the number 939,250?

 A: 2, 5, 13, 17

Why are those the prime factors of the number 939,250?

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 939,250

939,250
Factor Arrows
2469,625
Factor Arrows
593,925
Factor Arrows
518,785
Factor Arrows
53,757
Factor Arrows
13289
Factor Arrows
1717

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, 13, 17

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 13 x 17 x 17 = 939,250

This can also be written as 21 x 53 x 131 x 172 = 939,250

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


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