Q: What are the prime factors of the number 2,840,328?

 A: 2, 3, 103, 383

Why are those the prime factors of the number 2,840,328?

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 2,840,328

2,840,328
Factor Arrows
21,420,164
Factor Arrows
2710,082
Factor Arrows
2355,041
Factor Arrows
3118,347
Factor Arrows
339,449
Factor Arrows
103383

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, 103, 383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 103 x 383 = 2,840,328

This can also be written as 23 x 32 x 1031 x 3831 = 2,840,328

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


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