Q: What are the prime factors of the number 54,625,530?

 A: 2, 3, 5, 41, 89, 499

Why are those the prime factors of the number 54,625,530?

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 54,625,530

54,625,530
Factor Arrows
227,312,765
Factor Arrows
39,104,255
Factor Arrows
51,820,851
Factor Arrows
4144,411
Factor Arrows
89499

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, 5, 41, 89, 499

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 41 x 89 x 499 = 54,625,530

This can also be written as 21 x 31 x 51 x 411 x 891 x 4991 = 54,625,530

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


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