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Exercise 3C

1. Put a tick ( ) for the numbers that are divisible by 2, 3, 5 or 10 and put a cross ( )


for the ones that are not. one has been done for you.
divisible by divisible by
Number 2 3 5 10 Number 2 3 5 10

a. 84     f. 120
b. 90 g. 840
c. 486 h. 585
d. 590 i. 670

e. 274 j. 1420

2. Which of the following are divisible by 2?
a. 62 b. 63 c. 723 d. 456 e. 1000 f. 7040

3. Which of the following are divisible by 3?

a. 52 b. 63 c. 284 d. 351 e. 7404 f. 9363
4. Which of the following are divisible by 5?

a. 25 b. 302 c. 903 d. 1004 e. 6000 f. 7545

5. Which of the following are divisible by 10?

a. 60 b. 600 c. 225 d. 305 e. 700 f. 8560

HigHeST CoMMoN FACTor (HCF)

We have seen that every number (except 1) can be factorised into two or more factors.

Two or more numbers may have some of the same factors. These factors are called
common factors. The greatest common factor is called the Highest Common Factor (HCF).

Consider any two numbers, say 8 and 10.

Let us list the factors of 8 and 10.
Tips
Factors of 8 are 1, 2, 4 and 8.

Factors of 10 are 1, 2, 5 and 10. If two numbers have only 1 as
their common factor, they are
Common factors of 8 and 10 are 1 and 2. called co-primes. For example:

Highest common factor or HCF of 8 and 10 = 2. 5 and 8.

74 Mathematics 5