Q: What are the prime factors of the number 674,950?

 A: 2, 5, 13499

Why are those the prime factors of the number 674,950?

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 674,950

674,950
Factor Arrows
2337,475
Factor Arrows
567,495
Factor Arrows
513,499

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, 13499

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13,499 = 674,950

This can also be written as 21 x 52 x 13,4991 = 674,950

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


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