Q: What are the prime factors of the number 1,476,560?

 A: 2, 5, 18457

Why are those the prime factors of the number 1,476,560?

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 1,476,560

1,476,560
Factor Arrows
2738,280
Factor Arrows
2369,140
Factor Arrows
2184,570
Factor Arrows
292,285
Factor Arrows
518,457

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, 18457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 18,457 = 1,476,560

This can also be written as 24 x 51 x 18,4571 = 1,476,560

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


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