Q: What are the prime factors of the number 503,793?

 A: 3, 47, 397

Why are those the prime factors of the number 503,793?

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 503,793

503,793
Factor Arrows
3167,931
Factor Arrows
355,977
Factor Arrows
318,659
Factor Arrows
47397

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, 47, 397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 47 x 397 = 503,793

This can also be written as 33 x 471 x 3971 = 503,793

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


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