Q: What are the prime factors of the number 50,027,495?

 A: 5, 7, 53, 149, 181

Why are those the prime factors of the number 50,027,495?

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 50,027,495

50,027,495
Factor Arrows
510,005,499
Factor Arrows
71,429,357
Factor Arrows
5326,969
Factor Arrows
149181

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, 7, 53, 149, 181

We can check our work by multiplying all of the prime factors together: 5 x 7 x 53 x 149 x 181 = 50,027,495

This can also be written as 51 x 71 x 531 x 1491 x 1811 = 50,027,495

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


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