Q: What are the prime factors of the number 1,778,520?

 A: 2, 3, 5, 14821

Why are those the prime factors of the number 1,778,520?

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 1,778,520

1,778,520
Factor Arrows
2889,260
Factor Arrows
2444,630
Factor Arrows
2222,315
Factor Arrows
374,105
Factor Arrows
514,821

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, 14821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 14,821 = 1,778,520

This can also be written as 23 x 31 x 51 x 14,8211 = 1,778,520

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


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