Q: What are the prime factors of the number 155,908,560?

 A: 2, 3, 5, 649619

Why are those the prime factors of the number 155,908,560?

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 155,908,560

155,908,560
Factor Arrows
277,954,280
Factor Arrows
238,977,140
Factor Arrows
219,488,570
Factor Arrows
29,744,285
Factor Arrows
33,248,095
Factor Arrows
5649,619

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, 5, 649619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 649,619 = 155,908,560

This can also be written as 24 x 31 x 51 x 649,6191 = 155,908,560

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


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