Q: What are the prime factors of the number 161,218,482?

 A: 2, 3, 29, 67, 13829

Why are those the prime factors of the number 161,218,482?

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 161,218,482

161,218,482
Factor Arrows
280,609,241
Factor Arrows
326,869,747
Factor Arrows
29926,543
Factor Arrows
6713,829

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, 29, 67, 13829

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 67 x 13,829 = 161,218,482

This can also be written as 21 x 31 x 291 x 671 x 13,8291 = 161,218,482

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


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