Q: What are the prime factors of the number 155,125,536?

 A: 2, 3, 1615891

Why are those the prime factors of the number 155,125,536?

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 155,125,536

155,125,536
Factor Arrows
277,562,768
Factor Arrows
238,781,384
Factor Arrows
219,390,692
Factor Arrows
29,695,346
Factor Arrows
24,847,673
Factor Arrows
31,615,891

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, 1615891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,615,891 = 155,125,536

This can also be written as 25 x 31 x 1,615,8911 = 155,125,536

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


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