Q: What are the prime factors of the number 23,868,956?

 A: 2, 43, 73, 1901

Why are those the prime factors of the number 23,868,956?

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 23,868,956

23,868,956
Factor Arrows
211,934,478
Factor Arrows
25,967,239
Factor Arrows
43138,773
Factor Arrows
731,901

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, 43, 73, 1901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 73 x 1,901 = 23,868,956

This can also be written as 22 x 431 x 731 x 1,9011 = 23,868,956

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


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