Q: What are the prime factors of the number 18,155,280?

 A: 2, 3, 5, 11, 13, 23

Why are those the prime factors of the number 18,155,280?

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 18,155,280

18,155,280
Factor Arrows
29,077,640
Factor Arrows
24,538,820
Factor Arrows
22,269,410
Factor Arrows
21,134,705
Factor Arrows
3378,235
Factor Arrows
575,647
Factor Arrows
116,877
Factor Arrows
13529
Factor Arrows
2323

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, 11, 13, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 23 x 23 = 18,155,280

This can also be written as 24 x 31 x 51 x 111 x 131 x 232 = 18,155,280

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


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