Q: What are the prime factors of the number 48,183,616?

 A: 2, 13, 29, 1997

Why are those the prime factors of the number 48,183,616?

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 48,183,616

48,183,616
Factor Arrows
224,091,808
Factor Arrows
212,045,904
Factor Arrows
26,022,952
Factor Arrows
23,011,476
Factor Arrows
21,505,738
Factor Arrows
2752,869
Factor Arrows
1357,913
Factor Arrows
291,997

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, 29, 1997

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 13 x 29 x 1,997 = 48,183,616

This can also be written as 26 x 131 x 291 x 1,9971 = 48,183,616

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


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