Q: What are the prime factors of the number 18,000,880?

 A: 2, 5, 29, 7759

Why are those the prime factors of the number 18,000,880?

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 18,000,880

18,000,880
Factor Arrows
29,000,440
Factor Arrows
24,500,220
Factor Arrows
22,250,110
Factor Arrows
21,125,055
Factor Arrows
5225,011
Factor Arrows
297,759

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, 29, 7759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 29 x 7,759 = 18,000,880

This can also be written as 24 x 51 x 291 x 7,7591 = 18,000,880

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


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