Q: What are the prime factors of the number 164,426,625?

 A: 3, 5, 11, 43, 103

Why are those the prime factors of the number 164,426,625?

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 164,426,625

164,426,625
Factor Arrows
354,808,875
Factor Arrows
318,269,625
Factor Arrows
36,089,875
Factor Arrows
51,217,975
Factor Arrows
5243,595
Factor Arrows
548,719
Factor Arrows
114,429
Factor Arrows
43103

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, 5, 11, 43, 103

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 5 x 11 x 43 x 103 = 164,426,625

This can also be written as 33 x 53 x 111 x 431 x 1031 = 164,426,625

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


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