Q: What are the prime factors of the number 2,060,288?

 A: 2, 503

Why are those the prime factors of the number 2,060,288?

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 2,060,288

2,060,288
Factor Arrows
21,030,144
Factor Arrows
2515,072
Factor Arrows
2257,536
Factor Arrows
2128,768
Factor Arrows
264,384
Factor Arrows
232,192
Factor Arrows
216,096
Factor Arrows
28,048
Factor Arrows
24,024
Factor Arrows
22,012
Factor Arrows
21,006
Factor Arrows
2503

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, 503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 503 = 2,060,288

This can also be written as 212 x 5031 = 2,060,288

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


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