Q: What are the prime factors of the number 13,455,144?

 A: 2, 3, 186877

Why are those the prime factors of the number 13,455,144?

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 13,455,144

13,455,144
Factor Arrows
26,727,572
Factor Arrows
23,363,786
Factor Arrows
21,681,893
Factor Arrows
3560,631
Factor Arrows
3186,877

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, 186877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 186,877 = 13,455,144

This can also be written as 23 x 32 x 186,8771 = 13,455,144

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


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