How many prime numbers divides the number 360?

To find the prime numbers that divide 360, we first need to find the prime factorization of 360.

Step 1: Start with the smallest prime number, which is 2. 360 is divisible by 2, so we write down 2 and divide 360 by 2 to get 180.

Step 2: Continue with 2. 180 is divisible by 2, so we write down another 2 and divide 180 by 2 to get 90.

Step 3: Continue with 2. 90 is divisible by 2, so we write down another 2 and divide 90 by 2 to get 45.

Step 4: 45 is not divisible by 2, so we move to the next prime number, which is 3. 45 is divisible by 3, so we write down 3 and divide 45 by 3 to get 15.

Step 5: 15 is divisible by 3, so we write down another 3 and divide 15 by 3 to get 5.

Step 6: 5 is a prime number, so we write down 5.

So, the prime factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5.

Therefore, the prime numbers that divide 360 are 2, 3, and 5.