Q: What are the prime factors of the number 156,141,616?

 A: 2, 521, 18731

Why are those the prime factors of the number 156,141,616?

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 156,141,616

156,141,616
Factor Arrows
278,070,808
Factor Arrows
239,035,404
Factor Arrows
219,517,702
Factor Arrows
29,758,851
Factor Arrows
52118,731

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, 521, 18731

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 521 x 18,731 = 156,141,616

This can also be written as 24 x 5211 x 18,7311 = 156,141,616

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


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