Q: What are the prime factors of the number 19,186,176?

 A: 2, 3, 12491

Why are those the prime factors of the number 19,186,176?

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 19,186,176

19,186,176
Factor Arrows
29,593,088
Factor Arrows
24,796,544
Factor Arrows
22,398,272
Factor Arrows
21,199,136
Factor Arrows
2599,568
Factor Arrows
2299,784
Factor Arrows
2149,892
Factor Arrows
274,946
Factor Arrows
237,473
Factor Arrows
312,491

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, 12491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 12,491 = 19,186,176

This can also be written as 29 x 31 x 12,4911 = 19,186,176

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


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