Q: What are the prime factors of the number 122,013,432?

 A: 2, 3, 67, 8431

Why are those the prime factors of the number 122,013,432?

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 122,013,432

122,013,432
Factor Arrows
261,006,716
Factor Arrows
230,503,358
Factor Arrows
215,251,679
Factor Arrows
35,083,893
Factor Arrows
31,694,631
Factor Arrows
3564,877
Factor Arrows
678,431

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, 67, 8431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 67 x 8,431 = 122,013,432

This can also be written as 23 x 33 x 671 x 8,4311 = 122,013,432

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


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