Q: What are the prime factors of the number 55,154,425?

 A: 5, 31, 71167

Why are those the prime factors of the number 55,154,425?

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 55,154,425

55,154,425
Factor Arrows
511,030,885
Factor Arrows
52,206,177
Factor Arrows
3171,167

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:

5, 31, 71167

We can check our work by multiplying all of the prime factors together: 5 x 5 x 31 x 71,167 = 55,154,425

This can also be written as 52 x 311 x 71,1671 = 55,154,425

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


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