160 is divisble by which of the following numbers 2,3,4,5,6,9 or 10
160 is divisible by the numbers 2, 4, 5, 8, 10.
To determine if 160 is divisible by each of the given numbers (2, 3, 4, 5, 6, 9, and 10), we need to check if 160 can be divided evenly (without a remainder) by each number individually.
1. Divisibility by 2:
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). The last digit of 160 is 0, which is even, so 160 is divisible by 2.
2. Divisibility by 3:
To check if a number is divisible by 3, we need to find the sum of its digits. For 160, the sum of the digits is 1 + 6 + 0 = 7. Since 7 is not divisible by 3, 160 is not divisible by 3.
3. Divisibility by 4:
A number is divisible by 4 if its last two digits are divisible by 4. In this case, the last two digits of 160 are 60, and since 60 is divisible by 4, 160 is divisible by 4.
4. Divisibility by 5:
A number is divisible by 5 if its last digit is either 0 or 5. As we observed before, the last digit of 160 is 0, so 160 is divisible by 5.
5. Divisibility by 6:
To check if a number is divisible by 6, it must be divisible by both 2 and 3. Since we already determined that 160 is divisible by 2 but not divisible by 3, it is not divisible by 6.
6. Divisibility by 9:
Similar to the divisibility rule for 3, we need to find the sum of the digits and check if that sum is divisible by 9. The sum of the digits in 160 is 1 + 6 + 0 = 7, which is not divisible by 9. Therefore, 160 is not divisible by 9.
7. Divisibility by 10:
A number is divisible by 10 if it ends with a 0. Since 160 ends with 0, it is divisible by 10.
In conclusion, out of the given numbers, 160 is divisible by 2, 4, 5, and 10.
To determine whether 160 is divisible by the given numbers, we need to check if 160 can be divided evenly by each of them. Let's go through them one by one:
2: 160 ÷ 2 = 80 (no remainder). Yes, 160 is divisible by 2.
3: 160 ÷ 3 = 53.33 (not a whole number). No, 160 is not divisible by 3.
4: 160 ÷ 4 = 40 (no remainder). Yes, 160 is divisible by 4.
5: 160 ÷ 5 = 32 (no remainder). Yes, 160 is divisible by 5.
6: 160 ÷ 6 = 26.67 (not a whole number). No, 160 is not divisible by 6.
9: 160 ÷ 9 = 17.78 (not a whole number). No, 160 is not divisible by 9.
10: 160 ÷ 10 = 16 (no remainder). Yes, 160 is divisible by 10.
Therefore, 160 is divisible by 2, 4, 5, and 10.