Q: What are the prime factors of the number 787,056?

 A: 2, 3, 19, 863

Why are those the prime factors of the number 787,056?

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 787,056

787,056
Factor Arrows
2393,528
Factor Arrows
2196,764
Factor Arrows
298,382
Factor Arrows
249,191
Factor Arrows
316,397
Factor Arrows
19863

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, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 863 = 787,056

This can also be written as 24 x 31 x 191 x 8631 = 787,056

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


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