Q: What are the prime factors of the number 30,240,250?

 A: 2, 5, 73, 1657

Why are those the prime factors of the number 30,240,250?

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 30,240,250

30,240,250
Factor Arrows
215,120,125
Factor Arrows
53,024,025
Factor Arrows
5604,805
Factor Arrows
5120,961
Factor Arrows
731,657

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, 73, 1657

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 73 x 1,657 = 30,240,250

This can also be written as 21 x 53 x 731 x 1,6571 = 30,240,250

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


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