Mr. Shaw can use 70 shelves with 2 books each.
or
Mr. Shaw can use 35 shelves with 4 books each.
or
Mr. Shaw can use 28 shelves with 5 books each.
or
Mr. Shaw can use 20 shelves with 7 books each.
or
Mr. Shaw can use 14 shelves with 10 books each.
Mr. Shaw has 140 books in his library.
Divisibility rule of 2:
A number is always entirely divisible by 2 if it is even or has an even last digits, such as 2,4,6,8, or 0.
The last digit of 140 is 0 which is an even number. So, 140 is divisible by 2.
Therefore,
Number of shelves = 140/2 = 70
Divisibility rule of 4:
An integer is divisible by 4 if its last two digits are also divisible by 4. A number is divisible by 4 if its last two digits are zeros since 4 divides 100.
The last two digits of 140 are 4 and 0.
Now, 40/ 2 = 20. Hence, 140 is divisible by 4.
Therefore,
Number of shelves = 140/4 = 35
Divisibility rule of 5:
If the last digit of a given integer is either 5 or 0, then the number is divisible by 5 according to the divisibility rule of five.
Since the last digit of the number 140 is 0. Hence 140 is divisible by 5.
Therefore,
Shelves = 140 / 5 = 28
Now,
Divisibility rule of 7:
According to the divisibility rule of 7, if a number is divisible by seven, then "the difference between twice the unit digit of the provided number and the remaining part of the given number should be a multiple of seven or it should be equal to zero."
140 = 14 - 2 × 0 = 14
Since 14 is divisible by 7. Hence 140 is divisible by 7.
Therefore,
Number of shelves = 140 / 7 = 20
Similarly,
Divisibility rule of 10:
The divisibility rule for 10 states that any number whose last digit is 0, is divisible by 10.
As the last digit of 140 is 0, hence 140 is divisible by 10.
Therefore,
Number of shelves = 140/10 = 14
Learn more about the divisibility rule here:
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