Question

Write multiples of 4 between 32 and 72.

Answer 1

Hint:- Multiple of any number is that number which when divided by initial number gives the remainder equal to zero. Like if x is a multiple of y then if we divide x by y (\[\dfrac{x}{y}\]) then the resulting number is an integer. i.e. remainder equals to zero.

Complete step-by-step solution -
Negative numbers can also be a multiple of any number and all numbers are multiple of itself because their division is always equal to 1.
And each number is a multiple of 1 because when we divide 1 by any number then the resultant is that number itself.
Like the multiples of 2 are 2, 4, 6, 8, 10, 12 etc.
So, the multiples of 4 are 4, 8, 12, 16, 20, 24 etc.
But we had to find those multiples of 4 which lie between 32 and 72.
So, as we know that 32 is exactly divisible by 4 i.e. \[\dfrac{{32}}{4} = 8\]. So, 32 must be a multiple of 4.
And other multiples of 4 will be 36, 40, 44, 48, 52, 56, 60, 64, 68 and 72.
So, there are a total 9 multiples of 4 lying between 32 and 72.
Hence, the multiples of 4 between 32 and 72 are 32, 36, 40, 44, 48, 52, 56, 60, 64, 68 and 72.

Note:- Whenever we come up with this type of problem then we have to only find the first number between the given range which is a multiple of the number asked (here 4). And after that we can ask the number whose multiples is asked (here 4) to get its consecutive multiples. Like 32 + 4 = 36, 36 + 4 = 40, 40 + 4 = 44 and so on.