Page 14 - 6-Math-3 FACTORS AND MULTIPLES

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(i) 20 (ii) 36 (iii) 98 (iv) 225
(v) 216 (vi) 441 (vii) 256 (viii) 392
(ix) 5250 (x) 2310 (xi) 2058 (xii) 1248

4. Factorize the following numbers into prime factors by using
the factor tree method.

(i) 24 (ii) 36 (iii) 60 (iv) 72
(v) 108 (vi) 462 (vii) 390 (viii) 770

3.4 Highest Common Factor (HCF)

Let us find the factors of 24 and 30.

version: 1.1 It can be observed that 1,2,3 and 6 are the common factors of 24
and 30 but 6 is the largest factor among them. Hence, 6 is known
as the highest common factor (HCF) of 24 and 30. Similarly, we
can find the highest common factor of more than two numbers as
shown below.

The common factors of 12, 18 and 42 are 1, 2, 3 and 6 and largest
of these common factors is 6. Thus, the highest common factor is
6. Sometimes it becomes very difficult to write all possible factors
of a number. Hence, to solve this problem we use the following two
methods for finding the HCF of given numbers.

(i) Prime factorization method (ii) Long division method.

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