Q: What are the prime factors of the number 1,046,560?

 A: 2, 5, 31, 211

Why are those the prime factors of the number 1,046,560?

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 1,046,560

1,046,560
Factor Arrows
2523,280
Factor Arrows
2261,640
Factor Arrows
2130,820
Factor Arrows
265,410
Factor Arrows
232,705
Factor Arrows
56,541
Factor Arrows
31211

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, 31, 211

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 31 x 211 = 1,046,560

This can also be written as 25 x 51 x 311 x 2111 = 1,046,560

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


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