Q: What are the prime factors of the number 15,143,355?

 A: 3, 5, 139, 269

Why are those the prime factors of the number 15,143,355?

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 15,143,355

15,143,355
Factor Arrows
35,047,785
Factor Arrows
31,682,595
Factor Arrows
3560,865
Factor Arrows
3186,955
Factor Arrows
537,391
Factor Arrows
139269

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, 139, 269

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 139 x 269 = 15,143,355

This can also be written as 34 x 51 x 1391 x 2691 = 15,143,355

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


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