2. A number is divisible by 3 if the sum of its digits is divisible by 3.
Thus 462 is divisible by 3 since 4 + 6 + 2 = 12 is divisible by 3.
461 is not divisible by 3 since 4 + 6 + 1 = 11 is not divisible by 3.
3. A number is divisible by 4 if the number formed by the tens and oness
Thus 3843 is divisible by 9 since 3 + 8 + 4 + 3 = 18 is divisible by 9.
3849 is not divisible by 9 since 3+ 8 + 4 + 9 = 24 is not divisible by 9.
2340, 4845 are divisible by 5. 2342, 4846 are not divisible by 5.
3840, 485030 are divisible by 10. 3845, 485032 are not divisible by 10.
You
revise these and
1. A number is divisible by 2 if
Thus 380, 4812, 4344, 56, 388 are divisible
381, 4813, 4345, 57, 389 are not divisible by 2.
8
is divisible by 4.
3652 is divisible by 4 since 52 is divisible by 4.
3654 is not divisible by 4 since 54 is not divisible by 4.
4. A number is divisible by 5 if it has 0 or 5 in its ones place.
5. A number is divisible by 10 if it has o in its ones place.
6. A number is divisible by 9 if the sum of its digits is divisible by 9.
7. A number is divisible by 15 if it is divisible by both 3 and 5.
14265 is divisible by both 3 and 5. Therefore it is divisible by 15.
Notice that 3 and 5 are factors of 15 and they are coprime.
Answers
Step-by-step explanation:
2=ANSWER
Numbers are divisible by 3 if the sum of all the individual digits is divisible by 3.
For example, the last sum of the digits of the number 3627 is 3+6+2+7=18, and 18 is divisible by 3.
Therefore, 3627 is divisible by 3.
Hence, the statement a number is divisible by 3 if the sum of the digits in the number are divisible by 3 is true.
4= Divisibility test of number 5: If a number has 0 or 5 in its ones place, then the number is divisible by 5. Example: 320 and 965 are divisible by 5 since the unit(ones digit) are 0 and 5 respectively so the given numbers are divisible by 5.
5=Divisibility test of number 10: A number that has 0 in its ones place is divisible by 10. Example : 4,810 is divisible by 10 as unit digit(ones place) is zero. 9.
6=If the sum of the digits of a number is divisible by 9, then the number is divisible by 9. Some examples of numbers divisible by 9 are as follows. The number 51984 is divisible by 9 because the sum of its digits 5+1+9+8+4=27 is divisible by 9.
7=ANSWER
Number Sum of digits Divisibility by 3
30560
29515
23755
17325 3 +5 + 6 = 14
2 + 9 + 5 + 1 + 5 = 22
2+ 3 + 7 + 5 + 5 = 22
1 + 7 + 3 + 2 +5 = 18 Not Divisible
Not Divisible
Not Divisible
Divisible
All the numbers are divisible by 5 as they end in 0 or 5
∴ 17325 is divisible by 3 and 5
⇒ 17325 is divisible by 3 x 5 = 15
Answer:
Numbers are divisible by 3 if the sum of all the individual digits is divisible by 3.
For example, the last sum of the digits of the number 3627 is 3+6+2+7=18, and 18 is divisible by 3.
Therefore, 3627 is divisible by 3.