Q: What are the prime factors of the number 125,000,240?

 A: 2, 5, 19, 82237

Why are those the prime factors of the number 125,000,240?

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 125,000,240

125,000,240
Factor Arrows
262,500,120
Factor Arrows
231,250,060
Factor Arrows
215,625,030
Factor Arrows
27,812,515
Factor Arrows
51,562,503
Factor Arrows
1982,237

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, 19, 82237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 82,237 = 125,000,240

This can also be written as 24 x 51 x 191 x 82,2371 = 125,000,240

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


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