Q: What are the prime factors of the number 122,244,036?

 A: 2, 3, 31, 373, 881

Why are those the prime factors of the number 122,244,036?

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 122,244,036

122,244,036
Factor Arrows
261,122,018
Factor Arrows
230,561,009
Factor Arrows
310,187,003
Factor Arrows
31328,613
Factor Arrows
373881

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, 31, 373, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 373 x 881 = 122,244,036

This can also be written as 22 x 31 x 311 x 3731 x 8811 = 122,244,036

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


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