Q: What are the prime factors of the number 15,152,598?

 A: 2, 3, 43, 19577

Why are those the prime factors of the number 15,152,598?

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 15,152,598

15,152,598
Factor Arrows
27,576,299
Factor Arrows
32,525,433
Factor Arrows
3841,811
Factor Arrows
4319,577

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, 43, 19577

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 19,577 = 15,152,598

This can also be written as 21 x 32 x 431 x 19,5771 = 15,152,598

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


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