Q: What are the prime factors of the number 121,425,300?

 A: 2, 3, 5, 134917

Why are those the prime factors of the number 121,425,300?

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 121,425,300

121,425,300
Factor Arrows
260,712,650
Factor Arrows
230,356,325
Factor Arrows
310,118,775
Factor Arrows
33,372,925
Factor Arrows
5674,585
Factor Arrows
5134,917

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, 5, 134917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 134,917 = 121,425,300

This can also be written as 22 x 32 x 52 x 134,9171 = 121,425,300

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


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