Q: What are the prime factors of the number 890,796?

 A: 2, 3, 19, 3907

Why are those the prime factors of the number 890,796?

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 890,796

890,796
Factor Arrows
2445,398
Factor Arrows
2222,699
Factor Arrows
374,233
Factor Arrows
193,907

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, 19, 3907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 3,907 = 890,796

This can also be written as 22 x 31 x 191 x 3,9071 = 890,796

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


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