Here are two different factor trees for 60. Write the missing numbers.

NCERT Math Class 6th Question – 2 Exercise 3.5

Here are two different factor trees for 60. Write the missing numbers.

(a)

(b)

Solution:

(a) Given that:

Here, 6 = 2 x missing number
∴ Missing number = 6 ÷ 2 = 3
Similarly, 10 = 5 x missing number
∴ Missing number = 10 ÷ 5 = 2
Hence, the missing numbers are 3 and 2.

(b) Given that

Let the missing numbers be m₁, m₂, m₃ and m₄.
60 = 30 x m₁
⇒ m₁ = 60 ÷ 30 = 2
30 = 10 x m₂
⇒ m₂ = 30 ÷ 10 = 3
10 = m₃ x m₄
⇒ m₃ = 2 or 5 and m₄ = 5 or 2
Hence, the missing numbers are 2, 3, 2, 5.