Q: What are the prime factors of the number 266,750,240?

 A: 2, 5, 1667189

Why are those the prime factors of the number 266,750,240?

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 266,750,240

266,750,240
Factor Arrows
2133,375,120
Factor Arrows
266,687,560
Factor Arrows
233,343,780
Factor Arrows
216,671,890
Factor Arrows
28,335,945
Factor Arrows
51,667,189

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, 1667189

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 1,667,189 = 266,750,240

This can also be written as 25 x 51 x 1,667,1891 = 266,750,240

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


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