Q: What are the prime factors of the number 896,950?

 A: 2, 5, 17939

Why are those the prime factors of the number 896,950?

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 896,950

896,950
Factor Arrows
2448,475
Factor Arrows
589,695
Factor Arrows
517,939

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, 17939

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 17,939 = 896,950

This can also be written as 21 x 52 x 17,9391 = 896,950

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


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