Q: What are the prime factors of the number 120,650,644?

 A: 2, 163, 211, 877

Why are those the prime factors of the number 120,650,644?

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 120,650,644

120,650,644
Factor Arrows
260,325,322
Factor Arrows
230,162,661
Factor Arrows
163185,047
Factor Arrows
211877

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, 163, 211, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 163 x 211 x 877 = 120,650,644

This can also be written as 22 x 1631 x 2111 x 8771 = 120,650,644

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


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