Q: What are the prime factors of the number 19,143,552?

 A: 2, 3, 49853

Why are those the prime factors of the number 19,143,552?

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 19,143,552

19,143,552
Factor Arrows
29,571,776
Factor Arrows
24,785,888
Factor Arrows
22,392,944
Factor Arrows
21,196,472
Factor Arrows
2598,236
Factor Arrows
2299,118
Factor Arrows
2149,559
Factor Arrows
349,853

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, 49853

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 3 x 49,853 = 19,143,552

This can also be written as 27 x 31 x 49,8531 = 19,143,552

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


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