Page 33 - Concepts of Reasoning-8

Worksheet-3.4

Prime Factorisation

1. Find the square roots of the following perfect squares by factorisation method :
a. Ö441 = _____ b. Ö576 = _____

441 576
441 = 576 =
= =
Regrouping Regrouping
the factors) the factors)
Ö441 = _____ Ö576 = _____

c. Ö1764 = _____ d. Ö4356 = _____

1764 4356
1764 = 4356 =
= =
(Regrouping Regrouping
the factors) the factors)
Ö1764 = _____ Ö4356 = _____

2. Match the number with its prime factorisation and square root :

Number Prime factorisation Square root

2500 2 × 2 × 17 × 17 44

1156 7 × 7 × 7 × 7 62

1936 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 50

2401 2 × 2 × 5 × 5 × 5 × 5 49

3136 2 × 2 × 31 × 31 34

3844 2 × 2 × 2 × 2 × 11 × 11 56

33 Reasoning - 8