Q: What are the prime factors of the number 24,356,956?

 A: 2, 13, 137, 263

Why are those the prime factors of the number 24,356,956?

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 24,356,956

24,356,956
Factor Arrows
212,178,478
Factor Arrows
26,089,239
Factor Arrows
13468,403
Factor Arrows
1336,031
Factor Arrows
137263

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, 137, 263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 137 x 263 = 24,356,956

This can also be written as 22 x 132 x 1371 x 2631 = 24,356,956

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


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