Question
What is the prime factorization of 40?
2 times 5
2 times 20
2 times 2 times 2 times 5
2 times 5
2 times 20
2 times 2 times 2 times 5
Answers
GPT-4o mini
The prime factorization of 40 can be found by breaking it down into its prime factors.
1. Start by dividing 40 by the smallest prime number, which is 2:
- \(40 \div 2 = 20\)
2. Repeat the process with 20:
- \(20 \div 2 = 10\)
3. Again with 10:
- \(10 \div 2 = 5\)
4. Finally, 5 is a prime number and cannot be divided further.
So, we have divided 40 as follows:
\[
40 = 2 \times 2 \times 2 \times 5
\]
This can also be expressed in exponent form as:
\[
40 = 2^3 \times 5^1
\]
Thus, the prime factorization of 40 is \(2 \times 2 \times 2 \times 5\) or \(2^3 \times 5\).
1. Start by dividing 40 by the smallest prime number, which is 2:
- \(40 \div 2 = 20\)
2. Repeat the process with 20:
- \(20 \div 2 = 10\)
3. Again with 10:
- \(10 \div 2 = 5\)
4. Finally, 5 is a prime number and cannot be divided further.
So, we have divided 40 as follows:
\[
40 = 2 \times 2 \times 2 \times 5
\]
This can also be expressed in exponent form as:
\[
40 = 2^3 \times 5^1
\]
Thus, the prime factorization of 40 is \(2 \times 2 \times 2 \times 5\) or \(2^3 \times 5\).