Q: What are the prime factors of the number 1,078,016?

 A: 2, 4211

Why are those the prime factors of the number 1,078,016?

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 1,078,016

1,078,016
Factor Arrows
2539,008
Factor Arrows
2269,504
Factor Arrows
2134,752
Factor Arrows
267,376
Factor Arrows
233,688
Factor Arrows
216,844
Factor Arrows
28,422
Factor Arrows
24,211

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, 4211

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 4,211 = 1,078,016

This can also be written as 28 x 4,2111 = 1,078,016

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


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