SOLUTION: MAT 145: Topics In Contemporary Math Number Theory and Prime Numbers Find the prime factorization of each of the following. 1) 18 2) 64 3) 169 4) 300 5) 625

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Question 1191891: MAT 145: Topics In Contemporary Math
Number Theory and Prime Numbers
Find the prime factorization of each of the following.
1) 18
2) 64
3) 169
4) 300
5) 625

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is 2+2?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the prime factorization of each of the following.
1) 18
The Prime Factorization is:
18=2+%2A3+%2A3
In Exponential Form:
18=2%5E1+%2A+3%5E2
the prime factors:
2, 3,+3


2) 64
The Prime Factorization is:
64=2%2A+2+%2A+2+%2A2+%2A2+%2A2
In Exponential Form:
64=2%5E6
prime factorization:
64=2%5E6+(6 prime factors, 1 distinct)


3) 169

prime factorization:
169=13%5E2 (2 prime factors, 1 distinct)

4) 300
prime factorization:
300=2%5E2%2A3%2A5%5E2 (5 prime factors, 3 distinct)


5) 625
prime factorization:
625=5%5E4 (4 prime factors,1 distinct)