Q: What are the prime factors of the number 272,660,300?

 A: 2, 5, 11, 247873

Why are those the prime factors of the number 272,660,300?

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 272,660,300

272,660,300
Factor Arrows
2136,330,150
Factor Arrows
268,165,075
Factor Arrows
513,633,015
Factor Arrows
52,726,603
Factor Arrows
11247,873

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, 11, 247873

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 11 x 247,873 = 272,660,300

This can also be written as 22 x 52 x 111 x 247,8731 = 272,660,300

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


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