Q: What are the prime factors of the number 121,604,488?

 A: 2, 137, 181, 613

Why are those the prime factors of the number 121,604,488?

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 121,604,488

121,604,488
Factor Arrows
260,802,244
Factor Arrows
230,401,122
Factor Arrows
215,200,561
Factor Arrows
137110,953
Factor Arrows
181613

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, 137, 181, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 137 x 181 x 613 = 121,604,488

This can also be written as 23 x 1371 x 1811 x 6131 = 121,604,488

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


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