Q: What are the prime factors of the number 1,815,303?

 A: 3, 7, 53, 233

Why are those the prime factors of the number 1,815,303?

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 1,815,303

1,815,303
Factor Arrows
3605,101
Factor Arrows
786,443
Factor Arrows
712,349
Factor Arrows
53233

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:

3, 7, 53, 233

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 53 x 233 = 1,815,303

This can also be written as 31 x 72 x 531 x 2331 = 1,815,303

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


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