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

Solution:

We will be using the concept of factors to solve this.

(a) Let the missing numbers be a₁

Since, 6 = 2 × a₁

∴ Missing number (a₁) = 6 ÷ 2 = 3

Similarly, let the missing numbers be a₂

10 = 5 × a₂

∴ Missing number (a₂)= 10 ÷ 5 = 2

(b)Let the missing numbers be a₁, a₂, a₃ and a₄.

60 = 30 × a₁

⇒ a₁ = 60 ÷ 30 = 2

30 = 10 × a₂

⇒ a₂ = 30 × 10 = 3

10 = a₃ × a₄

⇒ a₃ = 2 or 5 and a₄ = 5 or 2

You can also check your answer on Online Common Factor Calculator.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.5 Question 2

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

Summary:

The missing numbers of two different factor trees for 60 are:

(a) 3 and 2.

(b) 2, 3, 2, 5.

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