Q: What are the prime factors of the number 120,002,432?

 A: 2, 11, 85229

Why are those the prime factors of the number 120,002,432?

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 120,002,432

120,002,432
Factor Arrows
260,001,216
Factor Arrows
230,000,608
Factor Arrows
215,000,304
Factor Arrows
27,500,152
Factor Arrows
23,750,076
Factor Arrows
21,875,038
Factor Arrows
2937,519
Factor Arrows
1185,229

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, 11, 85229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 85,229 = 120,002,432

This can also be written as 27 x 111 x 85,2291 = 120,002,432

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


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