Q: What are the prime factors of the number 939,778?

 A: 2, 7, 19, 3533

Why are those the prime factors of the number 939,778?

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 939,778

939,778
Factor Arrows
2469,889
Factor Arrows
767,127
Factor Arrows
193,533

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, 7, 19, 3533

We can check our work by multiplying all of the prime factors together: 2 x 7 x 19 x 3,533 = 939,778

This can also be written as 21 x 71 x 191 x 3,5331 = 939,778

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


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