Q: What are the prime factors of the number 425,467,375?

 A: 5, 61, 55799

Why are those the prime factors of the number 425,467,375?

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 425,467,375

425,467,375
Factor Arrows
585,093,475
Factor Arrows
517,018,695
Factor Arrows
53,403,739
Factor Arrows
6155,799

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, 61, 55799

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 61 x 55,799 = 425,467,375

This can also be written as 53 x 611 x 55,7991 = 425,467,375

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


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