Q: What are the prime factors of the number 67,863,159?

 A: 3, 7, 13, 41, 43, 47

Why are those the prime factors of the number 67,863,159?

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 67,863,159

67,863,159
Factor Arrows
322,621,053
Factor Arrows
37,540,351
Factor Arrows
71,077,193
Factor Arrows
1382,861
Factor Arrows
412,021
Factor Arrows
4347

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:

3, 7, 13, 41, 43, 47

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 13 x 41 x 43 x 47 = 67,863,159

This can also be written as 32 x 71 x 131 x 411 x 431 x 471 = 67,863,159

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


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