Q: What are the prime factors of the number 50,850,940?

 A: 2, 5, 7, 43, 8447

Why are those the prime factors of the number 50,850,940?

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 50,850,940

50,850,940
Factor Arrows
225,425,470
Factor Arrows
212,712,735
Factor Arrows
52,542,547
Factor Arrows
7363,221
Factor Arrows
438,447

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:

2, 5, 7, 43, 8447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 43 x 8,447 = 50,850,940

This can also be written as 22 x 51 x 71 x 431 x 8,4471 = 50,850,940

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


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