Q: What are the prime factors of the number 663,056?

 A: 2, 29, 1429

Why are those the prime factors of the number 663,056?

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 663,056

663,056
Factor Arrows
2331,528
Factor Arrows
2165,764
Factor Arrows
282,882
Factor Arrows
241,441
Factor Arrows
291,429

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, 29, 1429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 29 x 1,429 = 663,056

This can also be written as 24 x 291 x 1,4291 = 663,056

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


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