Q: What are the prime factors of the number 15,667,000?

 A: 2, 5, 15667

Why are those the prime factors of the number 15,667,000?

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 15,667,000

15,667,000
Factor Arrows
27,833,500
Factor Arrows
23,916,750
Factor Arrows
21,958,375
Factor Arrows
5391,675
Factor Arrows
578,335
Factor Arrows
515,667

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, 15667

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 15,667 = 15,667,000

This can also be written as 23 x 53 x 15,6671 = 15,667,000

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


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