Q: What are the prime factors of the number 50,375,025?

 A: 3, 5, 241, 929

Why are those the prime factors of the number 50,375,025?

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 50,375,025

50,375,025
Factor Arrows
316,791,675
Factor Arrows
35,597,225
Factor Arrows
51,119,445
Factor Arrows
5223,889
Factor Arrows
241929

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, 241, 929

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 241 x 929 = 50,375,025

This can also be written as 32 x 52 x 2411 x 9291 = 50,375,025

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


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