Q: What are the prime factors of the number 1,015,616?

 A: 2, 7, 2267

Why are those the prime factors of the number 1,015,616?

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 1,015,616

1,015,616
Factor Arrows
2507,808
Factor Arrows
2253,904
Factor Arrows
2126,952
Factor Arrows
263,476
Factor Arrows
231,738
Factor Arrows
215,869
Factor Arrows
72,267

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, 7, 2267

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 7 x 2,267 = 1,015,616

This can also be written as 26 x 71 x 2,2671 = 1,015,616

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


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