Q: What are the prime factors of the number 2,795,928?

 A: 2, 3, 97, 1201

Why are those the prime factors of the number 2,795,928?

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 2,795,928

2,795,928
Factor Arrows
21,397,964
Factor Arrows
2698,982
Factor Arrows
2349,491
Factor Arrows
3116,497
Factor Arrows
971,201

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, 97, 1201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 97 x 1,201 = 2,795,928

This can also be written as 23 x 31 x 971 x 1,2011 = 2,795,928

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


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