Q: What are the prime factors of the number 3,273,280?

 A: 2, 5, 53, 193

Why are those the prime factors of the number 3,273,280?

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 3,273,280

3,273,280
Factor Arrows
21,636,640
Factor Arrows
2818,320
Factor Arrows
2409,160
Factor Arrows
2204,580
Factor Arrows
2102,290
Factor Arrows
251,145
Factor Arrows
510,229
Factor Arrows
53193

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, 53, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 53 x 193 = 3,273,280

This can also be written as 26 x 51 x 531 x 1931 = 3,273,280

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


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