Q: What are the prime factors of the number 11,318,980?

 A: 2, 5, 67, 8447

Why are those the prime factors of the number 11,318,980?

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 11,318,980

11,318,980
Factor Arrows
25,659,490
Factor Arrows
22,829,745
Factor Arrows
5565,949
Factor Arrows
678,447

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, 5, 67, 8447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 67 x 8,447 = 11,318,980

This can also be written as 22 x 51 x 671 x 8,4471 = 11,318,980

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


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