Q: What are the prime factors of the number 9,327,840?

 A: 2, 3, 5, 19433

Why are those the prime factors of the number 9,327,840?

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 9,327,840

9,327,840
Factor Arrows
24,663,920
Factor Arrows
22,331,960
Factor Arrows
21,165,980
Factor Arrows
2582,990
Factor Arrows
2291,495
Factor Arrows
397,165
Factor Arrows
519,433

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, 5, 19433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19,433 = 9,327,840

This can also be written as 25 x 31 x 51 x 19,4331 = 9,327,840

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


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