Q: What are the prime factors of the number 2,196,372?

 A: 2, 3, 103, 1777

Why are those the prime factors of the number 2,196,372?

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 2,196,372

2,196,372
Factor Arrows
21,098,186
Factor Arrows
2549,093
Factor Arrows
3183,031
Factor Arrows
1031,777

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, 103, 1777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 103 x 1,777 = 2,196,372

This can also be written as 22 x 31 x 1031 x 1,7771 = 2,196,372

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


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