Q: What are the prime factors of the number 944,670?

 A: 2, 3, 5, 31489

Why are those the prime factors of the number 944,670?

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 944,670

944,670
Factor Arrows
2472,335
Factor Arrows
3157,445
Factor Arrows
531,489

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, 5, 31489

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 31,489 = 944,670

This can also be written as 21 x 31 x 51 x 31,4891 = 944,670

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


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