Q: What are the prime factors of the number 2,561,526?

 A: 2, 3, 11, 17, 761

Why are those the prime factors of the number 2,561,526?

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 2,561,526

2,561,526
Factor Arrows
21,280,763
Factor Arrows
3426,921
Factor Arrows
3142,307
Factor Arrows
1112,937
Factor Arrows
17761

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, 11, 17, 761

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 17 x 761 = 2,561,526

This can also be written as 21 x 32 x 111 x 171 x 7611 = 2,561,526

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


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