Q: What are the prime factors of the number 122,153,448?

 A: 2, 3, 727, 7001

Why are those the prime factors of the number 122,153,448?

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 122,153,448

122,153,448
Factor Arrows
261,076,724
Factor Arrows
230,538,362
Factor Arrows
215,269,181
Factor Arrows
35,089,727
Factor Arrows
7277,001

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, 727, 7001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 727 x 7,001 = 122,153,448

This can also be written as 23 x 31 x 7271 x 7,0011 = 122,153,448

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


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