Q: What are the prime factors of the number 155,253,360?

 A: 2, 3, 5, 646889

Why are those the prime factors of the number 155,253,360?

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 155,253,360

155,253,360
Factor Arrows
277,626,680
Factor Arrows
238,813,340
Factor Arrows
219,406,670
Factor Arrows
29,703,335
Factor Arrows
33,234,445
Factor Arrows
5646,889

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, 646889

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 646,889 = 155,253,360

This can also be written as 24 x 31 x 51 x 646,8891 = 155,253,360

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


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