Q: What are the prime factors of the number 121,487,000?

 A: 2, 5, 121487

Why are those the prime factors of the number 121,487,000?

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 121,487,000

121,487,000
Factor Arrows
260,743,500
Factor Arrows
230,371,750
Factor Arrows
215,185,875
Factor Arrows
53,037,175
Factor Arrows
5607,435
Factor Arrows
5121,487

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, 5, 121487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 121,487 = 121,487,000

This can also be written as 23 x 53 x 121,4871 = 121,487,000

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


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