Q: What are the prime factors of the number 56,802,024?

 A: 2, 3, 337, 2341

Why are those the prime factors of the number 56,802,024?

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 56,802,024

56,802,024
Factor Arrows
228,401,012
Factor Arrows
214,200,506
Factor Arrows
27,100,253
Factor Arrows
32,366,751
Factor Arrows
3788,917
Factor Arrows
3372,341

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, 337, 2341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 337 x 2,341 = 56,802,024

This can also be written as 23 x 32 x 3371 x 2,3411 = 56,802,024

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


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