Q: What are the prime factors of the number 261,250?

 A: 2, 5, 11, 19

Why are those the prime factors of the number 261,250?

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 261,250

261,250
Factor Arrows
2130,625
Factor Arrows
526,125
Factor Arrows
55,225
Factor Arrows
51,045
Factor Arrows
5209
Factor Arrows
1119

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, 19

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 5 x 11 x 19 = 261,250

This can also be written as 21 x 54 x 111 x 191 = 261,250

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


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