Question

If P = {factors of 36} and Q = {factors of 48}; Find: P ∩ Q

Answer 1

1 x 36 = 36
2 x 18 = 36
3 x 12 = 36
4 x 9 = 36 
6 x 6 = 36
1 x 48 = 48
2 x 24 = 48
3 x 16 = 48
4 x 12 = 48
6 x 8 = 48

∴ Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

P = {factors of 36}

= {1, 2, 3, 4, 6, 8, 12, 18, 36}

Q = {factors of 48}

= {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

P ∩ Q = {1, 2, 3, 4, 6, 9, 12, 18, 36} ∩ {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

={1, 2, 3, 4, 6, 12}