Q: What are the prime factors of the number 2,198,547?

 A: 3, 13, 19, 23, 43

Why are those the prime factors of the number 2,198,547?

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 2,198,547

2,198,547
Factor Arrows
3732,849
Factor Arrows
3244,283
Factor Arrows
1318,791
Factor Arrows
19989
Factor Arrows
2343

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, 13, 19, 23, 43

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 19 x 23 x 43 = 2,198,547

This can also be written as 32 x 131 x 191 x 231 x 431 = 2,198,547

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


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