prime factorization of 147
The prime factorization of 147 is 3 x 7 x 7.
To find the prime factorization of 147, we need to factorize it into its prime factors. We'll start by dividing the number by the smallest prime number, which is 2. However, 147 is not divisible by 2. Moving on, the next prime number is 3.
Dividing 147 by 3 gives us 49. As 49 is a perfect square, we can factorize it as 7*7. Therefore, the prime factorization of 147 can be written as:
147 = 3 * 7 * 7
So, the prime factorization of 147 is 3 * 7 * 7.
To find the prime factorization of 147, you need to determine the prime numbers that divide it evenly. Here's how you can do it:
1. Start by dividing 147 by the smallest prime number, which is 2. However, 147 is not divisible by 2 since it is an odd number.
2. Next, divide 147 by the next prime number, which is 3. 147 ÷ 3 = 49. Since 49 is divisible by 7 (7 × 7 = 49), you can write the prime factorization as 3 × 7 × 7.
Therefore, the prime factorization of 147 is 3 × 7 × 7.