Q: What are the prime factors of the number 15,136,065?

 A: 3, 5, 7, 19, 281

Why are those the prime factors of the number 15,136,065?

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 15,136,065

15,136,065
Factor Arrows
35,045,355
Factor Arrows
31,681,785
Factor Arrows
3560,595
Factor Arrows
3186,865
Factor Arrows
537,373
Factor Arrows
75,339
Factor Arrows
19281

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:

3, 5, 7, 19, 281

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 7 x 19 x 281 = 15,136,065

This can also be written as 34 x 51 x 71 x 191 x 2811 = 15,136,065

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


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