Q: What are the prime factors of the number 373,368,375?

 A: 3, 5, 331883

Why are those the prime factors of the number 373,368,375?

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 373,368,375

373,368,375
Factor Arrows
3124,456,125
Factor Arrows
341,485,375
Factor Arrows
58,297,075
Factor Arrows
51,659,415
Factor Arrows
5331,883

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:

3, 5, 331883

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 5 x 331,883 = 373,368,375

This can also be written as 32 x 53 x 331,8831 = 373,368,375

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


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