Q: What are the prime factors of the number 25,173,236?

 A: 2, 11, 61, 83, 113

Why are those the prime factors of the number 25,173,236?

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 25,173,236

25,173,236
Factor Arrows
212,586,618
Factor Arrows
26,293,309
Factor Arrows
11572,119
Factor Arrows
619,379
Factor Arrows
83113

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, 11, 61, 83, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 61 x 83 x 113 = 25,173,236

This can also be written as 22 x 111 x 611 x 831 x 1131 = 25,173,236

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


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