Q: What are the prime factors of the number 50,422,736?

 A: 2, 7, 13, 34631

Why are those the prime factors of the number 50,422,736?

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 50,422,736

50,422,736
Factor Arrows
225,211,368
Factor Arrows
212,605,684
Factor Arrows
26,302,842
Factor Arrows
23,151,421
Factor Arrows
7450,203
Factor Arrows
1334,631

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, 7, 13, 34631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 13 x 34,631 = 50,422,736

This can also be written as 24 x 71 x 131 x 34,6311 = 50,422,736

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


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