Q: What are the prime factors of the number 50,561,850?

 A: 2, 3, 5, 19, 113, 157

Why are those the prime factors of the number 50,561,850?

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 50,561,850

50,561,850
Factor Arrows
225,280,925
Factor Arrows
38,426,975
Factor Arrows
51,685,395
Factor Arrows
5337,079
Factor Arrows
1917,741
Factor Arrows
113157

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, 3, 5, 19, 113, 157

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 19 x 113 x 157 = 50,561,850

This can also be written as 21 x 31 x 52 x 191 x 1131 x 1571 = 50,561,850

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


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