Q: What are the prime factors of the number 121,884,424?

 A: 2, 17, 479, 1871

Why are those the prime factors of the number 121,884,424?

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 121,884,424

121,884,424
Factor Arrows
260,942,212
Factor Arrows
230,471,106
Factor Arrows
215,235,553
Factor Arrows
17896,209
Factor Arrows
4791,871

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, 17, 479, 1871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 479 x 1,871 = 121,884,424

This can also be written as 23 x 171 x 4791 x 1,8711 = 121,884,424

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


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