Q: What are the prime factors of the number 18,353,920?

 A: 2, 5, 13, 1103

Why are those the prime factors of the number 18,353,920?

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 18,353,920

18,353,920
Factor Arrows
29,176,960
Factor Arrows
24,588,480
Factor Arrows
22,294,240
Factor Arrows
21,147,120
Factor Arrows
2573,560
Factor Arrows
2286,780
Factor Arrows
2143,390
Factor Arrows
271,695
Factor Arrows
514,339
Factor Arrows
131,103

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, 13, 1103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 1,103 = 18,353,920

This can also be written as 28 x 51 x 131 x 1,1031 = 18,353,920

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


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