Q: What are the prime factors of the number 17,611,230?

 A: 2, 3, 5, 7, 13, 6451

Why are those the prime factors of the number 17,611,230?

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 17,611,230

17,611,230
Factor Arrows
28,805,615
Factor Arrows
32,935,205
Factor Arrows
5587,041
Factor Arrows
783,863
Factor Arrows
136,451

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, 5, 7, 13, 6451

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 13 x 6,451 = 17,611,230

This can also be written as 21 x 31 x 51 x 71 x 131 x 6,4511 = 17,611,230

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


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