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\\February 16, 2024 2:20 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Learning by Doing

Objective: To find the factors of a given number. Let us find the factors of 36.

Materials required: Cardboard sheets, sketch pen, a pair of scissors, geometry
box and fevicol.
Procedure:

Š Draw a 10 × 10 grid of 100 squares on a cardboard sheet.
Š With the help of a pair of scissors, cut the square pieces.

Š Take as many square pieces as the number which is to be factorised. Here, the number
to be factorised is 36.

Š Make all possible rectangular arrangements of these pieces.
Possibility-1: Arrangement of 36 pieces in 1 row.

36
1

Thus, 1 and 36 are factors of 36.
Possibility-2: Arrangement of 36 pieces in 2 equal rows.
18

2 rows.

Thus, 2 and 18 are factors of 36.
Possibility-3: Arrangement of 36 pieces in 3 equal rows.

12

3

Thus, 3 and 12 are factors of 36.

Possibility-4: Arrangement of 36 pieces Possibility-5. Arrangement of 36
in 4 equal rows. pieces in 6 equal rows.
9 6

4
6

Thus, 4 and 9 are factors of 36.
Thus, 6 is a factor of 36.

Š The number of rows and columns so obtained in each arrangement will be the factors
of the given number.

Thus, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

80 Mathematics-5