Q: What are the prime factors of the number 2,732,880?

 A: 2, 3, 5, 59, 193

Why are those the prime factors of the number 2,732,880?

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 2,732,880

2,732,880
Factor Arrows
21,366,440
Factor Arrows
2683,220
Factor Arrows
2341,610
Factor Arrows
2170,805
Factor Arrows
356,935
Factor Arrows
511,387
Factor Arrows
59193

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, 59, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 59 x 193 = 2,732,880

This can also be written as 24 x 31 x 51 x 591 x 1931 = 2,732,880

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


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