Check whether 876 and 345 are divisible by 3 ? Also check whether 3 divides the difference of 876 and 345
Answers
Answer:
divisibility of 3 says add all the digits of a number and if the sum os divisible by 3 the number is divisible by 3
here 8+7+6 = 21 it is divisible by 3
3+4+5 = 12 it is also divisible by 3
difference = 876-345= 531
5+3+1= 9 it is also divisible by 3
★ The divisibility rule of 3 is if the sum of the digits is divisible by three then the number is concluded to be divisible by 3
★ The sum of digits in the number 876 is 8+7+6 = 21
★ Again add the digits 2+1 = 3
★ 3 is divisible by three
★ 3*1 = 3
★ Thus we can conclude that 876 is divisible by three
★ Now let's check the sum of the digits in the number 345
★ 3+4+5 = 12
★ Now let's again add the digits 1+2 = 3
★ 3 is divisible by three as 3*1 = 3
★ Thus we can conclude that 345 is divisible by three
Now here it is even asked for the difference of 876 and 345 is divisible by 3
★ First, we have to find the difference of the numbers
★ 876-345 = 531
★ Now let's find if the number 531 is divisible by 3
★ 5+3+1 = 9
★ 9 is divisible by three as 3*3 = 9
So, as asked the numbers 876 and 345 are divisible by three and even the difference of the numbers are divisible by three
NOTE: ( * ) recognises multiplication
Happy to help.