Q: What are the prime factors of the number 1,357,056?

 A: 2, 3, 19, 31

Why are those the prime factors of the number 1,357,056?

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 1,357,056

1,357,056
Factor Arrows
2678,528
Factor Arrows
2339,264
Factor Arrows
2169,632
Factor Arrows
284,816
Factor Arrows
242,408
Factor Arrows
221,204
Factor Arrows
210,602
Factor Arrows
25,301
Factor Arrows
31,767
Factor Arrows
3589
Factor Arrows
1931

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, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 31 = 1,357,056

This can also be written as 28 x 32 x 191 x 311 = 1,357,056

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


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