Q: What are the prime factors of the number 16,228,371?

 A: 3, 29, 103, 1811

Why are those the prime factors of the number 16,228,371?

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 16,228,371

16,228,371
Factor Arrows
35,409,457
Factor Arrows
29186,533
Factor Arrows
1031,811

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, 29, 103, 1811

We can check our work by multiplying all of the prime factors together: 3 x 29 x 103 x 1,811 = 16,228,371

This can also be written as 31 x 291 x 1031 x 1,8111 = 16,228,371

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


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