Q: What are the prime factors of the number 54,821,862?

 A: 2, 3, 227, 13417

Why are those the prime factors of the number 54,821,862?

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 54,821,862

54,821,862
Factor Arrows
227,410,931
Factor Arrows
39,136,977
Factor Arrows
33,045,659
Factor Arrows
22713,417

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, 227, 13417

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 227 x 13,417 = 54,821,862

This can also be written as 21 x 32 x 2271 x 13,4171 = 54,821,862

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


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