Q: What are the prime factors of the number 856,240?

 A: 2, 5, 7, 11, 139

Why are those the prime factors of the number 856,240?

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 856,240

856,240
Factor Arrows
2428,120
Factor Arrows
2214,060
Factor Arrows
2107,030
Factor Arrows
253,515
Factor Arrows
510,703
Factor Arrows
71,529
Factor Arrows
11139

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, 7, 11, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 11 x 139 = 856,240

This can also be written as 24 x 51 x 71 x 111 x 1391 = 856,240

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


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