Q: What are the prime factors of the number 156,141,618?

 A: 2, 3, 23, 367, 3083

Why are those the prime factors of the number 156,141,618?

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 156,141,618

156,141,618
Factor Arrows
278,070,809
Factor Arrows
326,023,603
Factor Arrows
231,131,461
Factor Arrows
3673,083

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, 23, 367, 3083

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 367 x 3,083 = 156,141,618

This can also be written as 21 x 31 x 231 x 3671 x 3,0831 = 156,141,618

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


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