Q: What are the prime factors of the number 2,630,016?

 A: 2, 3, 761

Why are those the prime factors of the number 2,630,016?

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 2,630,016

2,630,016
Factor Arrows
21,315,008
Factor Arrows
2657,504
Factor Arrows
2328,752
Factor Arrows
2164,376
Factor Arrows
282,188
Factor Arrows
241,094
Factor Arrows
220,547
Factor Arrows
36,849
Factor Arrows
32,283
Factor Arrows
3761

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, 761

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 3 x 3 x 3 x 761 = 2,630,016

This can also be written as 27 x 33 x 7611 = 2,630,016

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


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