Q: What are the prime factors of the number 33,280,260?

 A: 2, 3, 5, 13, 42667

Why are those the prime factors of the number 33,280,260?

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 33,280,260

33,280,260
Factor Arrows
216,640,130
Factor Arrows
28,320,065
Factor Arrows
32,773,355
Factor Arrows
5554,671
Factor Arrows
1342,667

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, 3, 5, 13, 42667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 42,667 = 33,280,260

This can also be written as 22 x 31 x 51 x 131 x 42,6671 = 33,280,260

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


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