Q: What are the prime factors of the number 55,004,754?

 A: 2, 3, 7, 187091

Why are those the prime factors of the number 55,004,754?

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 55,004,754

55,004,754
Factor Arrows
227,502,377
Factor Arrows
39,167,459
Factor Arrows
71,309,637
Factor Arrows
7187,091

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, 7, 187091

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 187,091 = 55,004,754

This can also be written as 21 x 31 x 72 x 187,0911 = 55,004,754

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


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