Q: What are the prime factors of the number 50,373,375?

 A: 3, 5, 13, 10333

Why are those the prime factors of the number 50,373,375?

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 50,373,375

50,373,375
Factor Arrows
316,791,125
Factor Arrows
53,358,225
Factor Arrows
5671,645
Factor Arrows
5134,329
Factor Arrows
1310,333

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, 13, 10333

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 13 x 10,333 = 50,373,375

This can also be written as 31 x 53 x 131 x 10,3331 = 50,373,375

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


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