Q: What are the prime factors of the number 15,438,670?

 A: 2, 5, 13, 103, 1153

Why are those the prime factors of the number 15,438,670?

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 15,438,670

15,438,670
Factor Arrows
27,719,335
Factor Arrows
51,543,867
Factor Arrows
13118,759
Factor Arrows
1031,153

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, 13, 103, 1153

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 103 x 1,153 = 15,438,670

This can also be written as 21 x 51 x 131 x 1031 x 1,1531 = 15,438,670

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


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