Between 100 and 500
When divided by 100 remainder is 20
3 is not a factor
8 is not a factor
The number is 420.
When divided by 100, the remainder is 20. This means the number can be written as 100n + 20, where n is a whole number.
To check if 3 is not a factor, we can add up the digits of the number and see if the sum is divisible by 3. 4+2+0 = 6, which is not divisible by 3, so 3 is not a factor.
To check if 8 is not a factor, we can look at the last 3 digits of the number (since 8 is only a factor of numbers with the last 3 digits divisible by 8). The last 3 digits of 420 are 420, which is not divisible by 8, so 8 is not a factor.