Q: What are the prime factors of the number 1,211,560?

 A: 2, 5, 7, 4327

Why are those the prime factors of the number 1,211,560?

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 1,211,560

1,211,560
Factor Arrows
2605,780
Factor Arrows
2302,890
Factor Arrows
2151,445
Factor Arrows
530,289
Factor Arrows
74,327

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, 7, 4327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 4,327 = 1,211,560

This can also be written as 23 x 51 x 71 x 4,3271 = 1,211,560

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


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