write 340 as a product of its prime factors
Write 340 as a product of its prime factors
Answer:
To find the prime factors of 340, you need to break down this number into its prime components. Prime factorization means expressing a number as the product of prime numbers. Here’s how you can find the prime factors of 340:
First, you start by dividing 340 by the smallest prime number, which is 2. When you divide 340 by 2, you get 170. Then, you continue dividing by 2 until you cannot divide by 2 anymore.
(340 ÷ 2 = 170)
Now, 170 is still an even number, so you continue dividing by 2:
(170 ÷ 2 = 85)
Now, 85 is an odd number, so you move to the next prime number, which is 3. However, 85 is not divisible by 3. Therefore, you move to the next prime number, which is 5.
(85 ÷ 5 = 17)
Now, 17 is a prime number itself. So, the prime factors of 340 are 2 × 2 × 5 × 17.
Therefore, the prime factorization of 340 is (2 \times 2 \times 5 \times 17 = 2^2 \times 5 \times 17).