Write the number 20 as a product of prime factors.
To find the prime factorization of a number, we need to express it as a product of its prime factors.
To find the prime factors of 20, we start with the smallest prime number, which is 2. We divide 20 by 2 to get 10.
Next, we continue dividing the result (10) by the smallest prime number, 2, until we cannot divide any further. We divide 10 by 2 again to get 5.
Since 5 is a prime number, we have found all the prime factors. Therefore, the prime factorization of 20 is 2 x 2 x 5, which can also be written as 2^2 x 5.
To express the number 20 as a product of its prime factors, we need to decompose it into its prime factors. Here's the step-by-step process:
1. Start by dividing the number by the smallest prime number, which is 2. Since 20 is divisible by 2, divide it by 2 and write down the quotient:
20 ÷ 2 = 10
We now have the first prime factor, which is 2.
2. Repeat step 1 for the quotient obtained. Divide the quotient (10) by 2:
10 ÷ 2 = 5
The quotient is now 5.
3. As you can see, 5 is a prime number, so there are no more divisions possible.
To summarize, the prime factors of 20 are 2, 2, and 5. Therefore, we can express 20 as the product of its prime factors as follows:
20 = 2 × 2 × 5
To write the number 20 as a product of prime factors, we need to find the prime numbers that divide evenly into 20.
Step 1: Start by dividing 20 by the smallest prime number, which is 2.
20 ÷ 2 = 10
Step 2: Now, we repeat the process with the new quotient, which is 10.
10 ÷ 2 = 5
Step 3: The final quotient is 5, and 5 is already a prime number.
Therefore, the prime factorization of 20 is:
2 × 2 × 5.
So, 20 can be written as a product of prime factors as 2 × 2 × 5.