Q: What are the prime factors of the number 28,204,236?

 A: 2, 3, 797, 983

Why are those the prime factors of the number 28,204,236?

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 28,204,236

28,204,236
Factor Arrows
214,102,118
Factor Arrows
27,051,059
Factor Arrows
32,350,353
Factor Arrows
3783,451
Factor Arrows
797983

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, 797, 983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 797 x 983 = 28,204,236

This can also be written as 22 x 32 x 7971 x 9831 = 28,204,236

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


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