## S. K. Gupta Anubhuti Gangal Class 5 Math Fourth Chapter Factors And Multiples Exercise 14

## EXERCISE 14

**(1) In each of the following questions check the divisibility of the first number by the second number, applying the rules of divisibility.**

(a) 5695 by 5

Ans: Yes, Because its last digit is 5.

(b) 32900 by 10

Ans: Yes, because its last digit is 0.

(c) 3979 by 3

Ans: Consider the number 3979.

Sum of its digit = (3 + 9 +7 + 9) = 28, which is not divisible by 3.

Therefore, 3979 is not divisible by 3.

(d) 4236 by 6

Ans: Prime factors of 6 are 2 and 3.

Consider the number 4236, which is divisible by 2. Because its last digit is 6.

Sum of its digit = (4 +2 + 3 + 6) = 15, which is also divisible by 3.

Hence, 4236 is divisible by 6.

(e) 12345 by 3

Ans: Consider the number 12345.

Sum of its digit = (1 + 2 + 3 + 4 + 5) = 15, which is divisible by 3.

Therefore, 12345 is divisible by 3.

(f) 68709 by 9

Ans: Consider the number 68709.

Sum of its digit = (6 + 8 + 7 + 0 + 9) = 30, which is not divisible by 9.

Therefore, 68709 is not divisible by 9.

(g) 13416 by 4

Ans: Consider the number 13416.

The number formed by the tens and ones digit ids 16, which is divisible by 4.

Therefore, 13416 is divisible by 4.

(h) 100008 by 9

Ans: Consider the number 100008.

Sum of its digit = (1 + 0 + 0 + 0 + 0 + 8) = 9, which is divisible by 9.

Therefore, 100008 is divisible by 9.

**(2) Check if the first number is divisible by second. (Think of the co-prime factors of the divisor 🙂**

(a) 18864 by 36.

Solution: We know that 188864 is divisible by 36.

All factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Clearly, 18864 is divisible by each one 1, 2, 3, 4, 6, 9, 12, 18, 36.

(b) 6759 by 12

Solution: We know that 6759 is not divisible by 12.

(c) 3540 by 15

Solution: We know that 3540 is divisible by 15.

All factors of 15 are 1, 2, 3, 5.

Clearly, 3540 is divisible by each one 1, 2, 3, 5.

(d) 4000 by 30

Solution: We know that 4000 is not divisible by 30.