Q: What are the prime factors of the number 671,840?

 A: 2, 5, 13, 17, 19

Why are those the prime factors of the number 671,840?

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 671,840

671,840
Factor Arrows
2335,920
Factor Arrows
2167,960
Factor Arrows
283,980
Factor Arrows
241,990
Factor Arrows
220,995
Factor Arrows
54,199
Factor Arrows
13323
Factor Arrows
1719

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, 13, 17, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 13 x 17 x 19 = 671,840

This can also be written as 25 x 51 x 131 x 171 x 191 = 671,840

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


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