Q: What are the prime factors of the number 19,975,152?

 A: 2, 3, 416149

Why are those the prime factors of the number 19,975,152?

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 19,975,152

19,975,152
Factor Arrows
29,987,576
Factor Arrows
24,993,788
Factor Arrows
22,496,894
Factor Arrows
21,248,447
Factor Arrows
3416,149

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, 416149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 416,149 = 19,975,152

This can also be written as 24 x 31 x 416,1491 = 19,975,152

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


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