Prime factorization of 80
Understand the Problem
The question is asking for the prime factorization of the number 80, which involves breaking it down into the prime numbers that multiply together to result in 80.
Answer
$2^4 \\times 5$
Answer for screen readers
The final answer is 2^4 \times 5
Steps to Solve
-
Divide by the smallest prime number (2)
Start by dividing 80 by the smallest prime number, which is 2.
$$ 80 \div 2 = 40 $$
- Continue dividing by 2
Divide the result by 2 again as long as it is an even number.
$$ 40 \div 2 = 20 $$ $$ 20 \div 2 = 10 $$ $$ 10 \div 2 = 5 $$
- Divide by the next smallest prime number (5)
The final result, 5, is a prime number. Divide by 5.
$$ 5 \div 5 = 1 $$
- Combine the prime factors
Collect all the prime factors obtained from the divisions.
The prime factorization of 80 is: $$ 2^4 \times 5 $$
The final answer is 2^4 \times 5
More Information
Prime factorizations help in finding the greatest common divisor (GCD) and least common multiple (LCM) of numbers.
Tips
Be careful to divide by the smallest possible prime number at each step to ensure accuracy.
