Q: What are the prime factors of the number 123,000,552?

 A: 2, 3, 569447

Why are those the prime factors of the number 123,000,552?

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 123,000,552

123,000,552
Factor Arrows
261,500,276
Factor Arrows
230,750,138
Factor Arrows
215,375,069
Factor Arrows
35,125,023
Factor Arrows
31,708,341
Factor Arrows
3569,447

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, 569447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 569,447 = 123,000,552

This can also be written as 23 x 33 x 569,4471 = 123,000,552

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


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