Q: What are the prime factors of the number 2,261,584?

 A: 2, 13, 83, 131

Why are those the prime factors of the number 2,261,584?

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 2,261,584

2,261,584
Factor Arrows
21,130,792
Factor Arrows
2565,396
Factor Arrows
2282,698
Factor Arrows
2141,349
Factor Arrows
1310,873
Factor Arrows
83131

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, 13, 83, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 83 x 131 = 2,261,584

This can also be written as 24 x 131 x 831 x 1311 = 2,261,584

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


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