Q: What are the prime factors of the number 1,045,280?

 A: 2, 5, 47, 139

Why are those the prime factors of the number 1,045,280?

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 1,045,280

1,045,280
Factor Arrows
2522,640
Factor Arrows
2261,320
Factor Arrows
2130,660
Factor Arrows
265,330
Factor Arrows
232,665
Factor Arrows
56,533
Factor Arrows
47139

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, 5, 47, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 47 x 139 = 1,045,280

This can also be written as 25 x 51 x 471 x 1391 = 1,045,280

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


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