write 75 as a product of its prime factors
Write 75 as a product of its prime factors
Answer: To express 75 as a product of its prime factors, we need to find the prime numbers that multiply together to give 75.
First, we start by dividing 75 by the smallest prime number, which is 2, but 2 does not divide evenly into 75. Next, we try 3, and 3 divides 75, resulting in 25. Then, 25 is further divided by 5 (which is a prime number), giving 5. Finally, 5 cannot be divided any further as it is a prime number.
Therefore, the prime factors of 75 are 3 and 5. When we multiply these prime factors together, we get the original number 75. So, we can write 75 as the product of its prime factors: 3 x 5 x 5.