Q: What are the prime factors of the number 48,726,267?

 A: 3, 17, 43, 1307

Why are those the prime factors of the number 48,726,267?

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 48,726,267

48,726,267
Factor Arrows
316,242,089
Factor Arrows
17955,417
Factor Arrows
1756,201
Factor Arrows
431,307

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, 17, 43, 1307

We can check our work by multiplying all of the prime factors together: 3 x 17 x 17 x 43 x 1,307 = 48,726,267

This can also be written as 31 x 172 x 431 x 1,3071 = 48,726,267

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


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