Q: What are the prime factors of the number 56,010,096?

 A: 2, 3, 317, 409

Why are those the prime factors of the number 56,010,096?

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 56,010,096

56,010,096
Factor Arrows
228,005,048
Factor Arrows
214,002,524
Factor Arrows
27,001,262
Factor Arrows
23,500,631
Factor Arrows
31,166,877
Factor Arrows
3388,959
Factor Arrows
3129,653
Factor Arrows
317409

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, 317, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 317 x 409 = 56,010,096

This can also be written as 24 x 33 x 3171 x 4091 = 56,010,096

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


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