How can I tell if 3360 is divisible by 24 without doing division?
See if 3360 contains prime factors that can be multiplied together to get 24.
But dividing by 24 directly is easier.
3360 = 336*5*2
= 112*3*5*2
= 8*7*2*3*5*2
There is a factor of 8*3 = 24 in that group
Go back to school or use a calculator?
To determine if 3360 is divisible by 24 without performing long division, you need to check if 3360 is divisible by both 6 and 4. Here's how you can do it:
1. Check divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3. To check divisibility by 3, find the sum of the digits of 3360. In this case, 3 + 3 + 6 + 0 = 12. Since 12 is divisible by 3, we move on to checking divisibility by 2.
2. Check divisibility by 2: To determine if a number is divisible by 2, you only need to look at its last digit. In this case, the last digit of 3360 is 0, so it is divisible by 2.
Since 3360 is divisible by both 2 and 3, it is divisible by 6 as well. Now, we need to check if it is divisible by 4.
3. Check divisibility by 4: A number is divisible by 4 if the last two digits of the number form a multiple of 4. In this case, the last two digits of 3360 are 6 and 0. Since 60 is a multiple of 4, we can conclude that 3360 is divisible by 4.
Therefore, since 3360 is divisible by both 6 and 4, it is also divisible by 24 without performing division.