Q: What are the prime factors of the number 23,757,318?

 A: 2, 3, 13, 101527

Why are those the prime factors of the number 23,757,318?

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 23,757,318

23,757,318
Factor Arrows
211,878,659
Factor Arrows
33,959,553
Factor Arrows
31,319,851
Factor Arrows
13101,527

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, 13, 101527

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 101,527 = 23,757,318

This can also be written as 21 x 32 x 131 x 101,5271 = 23,757,318

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


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