Q: What are the prime factors of the number 155,908,564?

 A: 2, 7, 17, 19267

Why are those the prime factors of the number 155,908,564?

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 155,908,564

155,908,564
Factor Arrows
277,954,282
Factor Arrows
238,977,141
Factor Arrows
75,568,163
Factor Arrows
17327,539
Factor Arrows
1719,267

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, 7, 17, 19267

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 17 x 17 x 19,267 = 155,908,564

This can also be written as 22 x 71 x 172 x 19,2671 = 155,908,564

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


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