Q: What are the prime factors of the number 2,518,695?

 A: 3, 5, 691

Why are those the prime factors of the number 2,518,695?

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 2,518,695

2,518,695
Factor Arrows
3839,565
Factor Arrows
3279,855
Factor Arrows
393,285
Factor Arrows
331,095
Factor Arrows
310,365
Factor Arrows
33,455
Factor Arrows
5691

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:

3, 5, 691

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 691 = 2,518,695

This can also be written as 36 x 51 x 6911 = 2,518,695

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


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