Q: What are the prime factors of the number 63,561,472?

 A: 2, 13, 71, 269

Why are those the prime factors of the number 63,561,472?

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 63,561,472

63,561,472
Factor Arrows
231,780,736
Factor Arrows
215,890,368
Factor Arrows
27,945,184
Factor Arrows
23,972,592
Factor Arrows
21,986,296
Factor Arrows
2993,148
Factor Arrows
2496,574
Factor Arrows
2248,287
Factor Arrows
1319,099
Factor Arrows
71269

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, 13, 71, 269

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 13 x 71 x 269 = 63,561,472

This can also be written as 28 x 131 x 711 x 2691 = 63,561,472

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


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