Q: What are the prime factors of the number 121,432,212?

 A: 2, 3, 11, 61, 457

Why are those the prime factors of the number 121,432,212?

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 121,432,212

121,432,212
Factor Arrows
260,716,106
Factor Arrows
230,358,053
Factor Arrows
310,119,351
Factor Arrows
33,373,117
Factor Arrows
11306,647
Factor Arrows
1127,877
Factor Arrows
61457

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, 11, 61, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 61 x 457 = 121,432,212

This can also be written as 22 x 32 x 112 x 611 x 4571 = 121,432,212

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


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