Q: What are the prime factors of the number 18,155,284?

 A: 2, 7, 211, 439

Why are those the prime factors of the number 18,155,284?

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 18,155,284

18,155,284
Factor Arrows
29,077,642
Factor Arrows
24,538,821
Factor Arrows
7648,403
Factor Arrows
792,629
Factor Arrows
211439

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, 7, 211, 439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 211 x 439 = 18,155,284

This can also be written as 22 x 72 x 2111 x 4391 = 18,155,284

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


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