Q: What are the prime factors of the number 55,000,096?

 A: 2, 43, 39971

Why are those the prime factors of the number 55,000,096?

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 55,000,096

55,000,096
Factor Arrows
227,500,048
Factor Arrows
213,750,024
Factor Arrows
26,875,012
Factor Arrows
23,437,506
Factor Arrows
21,718,753
Factor Arrows
4339,971

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, 43, 39971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 39,971 = 55,000,096

This can also be written as 25 x 431 x 39,9711 = 55,000,096

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


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