06
Rule
if the number is even, or it, its ones
digit is either of 0. 2. 46 or 8.
Hence, 360 is divisible by
if the sum of the digits is divisible
by
One natural number is said to be divisible by another natural number, if on divi rom the rules given on the previous pure, we learn thar
remainder equal to rero. There are some rules or patterns that make it easier to tell number is divisible by another number if it is divisible
Thus, number divisible by 12 will also be divisible byla
Test with 160
aple Check the divisibility of 11718 by IN
A number is
divisible by:
In 360, the ones digitis
Solution Think of the prime tetors of The
So, the number is even.
Therefore, to check the divisibility of 1
number is divisible by and 9.
11718 It is an even number, so is divi
In 360.3+0+0=0an
Sum of the digits +1+1
9 is divisible by
So, 360 is divisible by
So, 11718 is divisible by 0
Hence, 11718 is divisible by x9, that
In 360, the last two digits
0. And the number toma Exercise 7D
them, 60 is divisible by 4
divisible by 1
1. In each of the following questions, check the divi
In 360, the ones digit is 0.
number
So, 360 is divisible by
Thint Apply the rules of divisibility
(a) 5695 by 5
(b) 32900 by 10
Since 360 is divisible by both
if the number is divisible by both
(d) 4236 by a
(e) 12345 by
3. is also divisible by 6.
2 and 3.
(a) 13416 by 4
(h) 100003 by
2. Check if the first number is divisible by the se
In 360, 3+ 6 +0.9 and
divisor.)
9 is divisible by 9,
(a) 18864 by 36
(b) 6750 by 12
So, 360 is divisible by 9
(d) 4000 by 30
(e) 1958 by 22
In 360, the ones digit is 0.
3. The table given below shows the number of
if the ones digit is 0.
So, 360 is divisible by 10.
Box A Box B
2.
if the number formed by the last
two digits is divisible by 4.
if the ones digit is oor 5
i
if the sum of the digits is divisible
by 9,
Pencils
270
if the difference of the sum of
its digits at odd places and sum of
its digits at even places is either 0
or divisible by 11 (start from the
right)
In 2794, sum of digits at odd
4+7 11
Sum of digits at even places
19+2.11
(a) Bindu buys all the pencils from the box
and 10. Which box is it?
in ancils who
Answers
Answered by
1
Answer:
The numbers which exactly divides the given number are called the Factors of that number.
Factors
As we can see that we get the number 12 by
1 × 12, 2 × 6, 3 × 4, 4 × 3, 6 × 2 and 12 ×1
Hence,
1, 2, 3, 4, 6 and 12 are the factors of 12.
The factors are always less than or equal to the given number.
Multiples
If we say that 4 and 5 are the factors of 20 then 20 is the multiple of 4 and 5 both.
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