Q: What are the prime factors of the number 2,060,064?

 A: 2, 3, 23, 311

Why are those the prime factors of the number 2,060,064?

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 2,060,064

2,060,064
Factor Arrows
21,030,032
Factor Arrows
2515,016
Factor Arrows
2257,508
Factor Arrows
2128,754
Factor Arrows
264,377
Factor Arrows
321,459
Factor Arrows
37,153
Factor Arrows
23311

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, 23, 311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 311 = 2,060,064

This can also be written as 25 x 32 x 231 x 3111 = 2,060,064

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


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