Question

Test the divisibility of the following number by 3
a)23172
b)2654

Answer 1

Answer:

sum of all digits

2+3+1+7+2=15 then in 3 table 15 is divisible so 23173 is divisible by 3

2+6+5+4=17 then in 3 table 17 is not divisible so

2654 is not divisible by 3

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Answer 2

Answer:

To check the divisibility of any number by 3

Check that the sum of all numbers of the specific number is a multiple of 3.

If it is a multiple of three then the number is divisible by 3.

(i) 23172

All the sum of numbers of this number is equal to 15.

∴ The number is divisible by 3.

= 23172 ÷ 3

= 7724

(ii) 2654

All the sum of numbers of this number is equal to 17.

∴ The number is not divisible by 3.

= 2654 ÷ 3

= 884.666......

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