Divisible by 9
Divisible by 9 is discussed below:
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
99, 198, 171, 9990, 3411.
(i) 99
Sum of the digits of 99 = 9 + 9 = 18, which is divisible by 9.
Hence, 99 is divisible by 9.
(ii) 198
Sum of the digits of 198 = 1 + 9 + 8 = 18, which is divisible by 9.
Hence, 198 is divisible by 9.
(iii) 171
Sum of the digits of 171 = 1 + 7 + 1 = 9, which is divisible by 9.
Hence, 171 is divisible by 9.
(iv) 9990
Sum of the digits of 9990 = 9 + 9 + 9+ 0 = 27, which is divisible by 9.
Hence, 9990 is divisible by 9.
(v) 3411
Sum of the digits of 3411 = 3 + 4 + 1+ 1 = 9, which is divisible by 9.
Hence, 3411 is divisible by 9.
Consider the following numbers which are not divisible by 9, using the rules of divisibility by 9:
73, 237, 394, 1277, 1379.
(i) 73
Sum of the digits of 73 = 7 + 3 = 10, which is not divisible by 9.
Hence, 73 is not divisible by 9.
(ii) 237
Sum of the digits of 237 = 2 + 3 + 7 = 12, which is not divisible by 9.
Hence, 237 is not divisible by 9.
(iii) 394
Sum of the digits of 394 = 3 + 9 + 4 = 16, which is not divisible by 9.
Hence, 394 is not divisible by 9.
(iv) 1277
Sum of the digits of 1277 = 1 + 2 + 7 + 7 = 17, which is not divisible by 9.
Hence, 1277 is not divisible by 9.
(v) 1379
Sum of the digits of 1379 = 1 + 3 + 7 + 9 = 20, which is not divisible by 9.
Hence, 1379 is not divisible by 9.
1. Choose the numbers which are divisible by 9.
13 27 128 65 730363 900 1375
Answer: 27, 900
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● Divisibility Rules.
Properties of Divisibility.
Divisible by 2.
Divisible by 3.
Divisible by 4.
Divisible by 5.
Divisible by 6.
Divisible by 7.
Divisible by 8.
Divisible by 9.
Divisible by 10.
Problems on Divisibility Rules
Worksheet on Divisibility Rules
5th Grade Math Problems
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