Q: What are the prime factors of the number 3,424,113?

 A: 3, 7, 11, 61

Why are those the prime factors of the number 3,424,113?

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 3,424,113

3,424,113
Factor Arrows
31,141,371
Factor Arrows
3380,457
Factor Arrows
3126,819
Factor Arrows
342,273
Factor Arrows
314,091
Factor Arrows
34,697
Factor Arrows
7671
Factor Arrows
1161

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, 7, 11, 61

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 61 = 3,424,113

This can also be written as 36 x 71 x 111 x 611 = 3,424,113

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


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