Q: What are the prime factors of the number 12,314,300?

 A: 2, 5, 123143

Why are those the prime factors of the number 12,314,300?

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 12,314,300

12,314,300
Factor Arrows
26,157,150
Factor Arrows
23,078,575
Factor Arrows
5615,715
Factor Arrows
5123,143

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, 123143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 123,143 = 12,314,300

This can also be written as 22 x 52 x 123,1431 = 12,314,300

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


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