Q: What are the prime factors of the number 1,051,560?

 A: 2, 3, 5, 23, 127

Why are those the prime factors of the number 1,051,560?

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 1,051,560

1,051,560
Factor Arrows
2525,780
Factor Arrows
2262,890
Factor Arrows
2131,445
Factor Arrows
343,815
Factor Arrows
314,605
Factor Arrows
52,921
Factor Arrows
23127

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, 3, 5, 23, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 23 x 127 = 1,051,560

This can also be written as 23 x 32 x 51 x 231 x 1271 = 1,051,560

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


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