Q: What are the prime factors of the number 63,200,712?

 A: 2, 3, 43, 47, 1303

Why are those the prime factors of the number 63,200,712?

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 63,200,712

63,200,712
Factor Arrows
231,600,356
Factor Arrows
215,800,178
Factor Arrows
27,900,089
Factor Arrows
32,633,363
Factor Arrows
4361,241
Factor Arrows
471,303

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, 43, 47, 1303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 43 x 47 x 1,303 = 63,200,712

This can also be written as 23 x 31 x 431 x 471 x 1,3031 = 63,200,712

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


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