Q: What are the prime factors of the number 50,102,616?

 A: 2, 3, 197, 10597

Why are those the prime factors of the number 50,102,616?

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 50,102,616

50,102,616
Factor Arrows
225,051,308
Factor Arrows
212,525,654
Factor Arrows
26,262,827
Factor Arrows
32,087,609
Factor Arrows
19710,597

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, 197, 10597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 197 x 10,597 = 50,102,616

This can also be written as 23 x 31 x 1971 x 10,5971 = 50,102,616

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


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