# If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines. (figure a)

**Solution:**

Given, the figure represents a single machine.

We have to find a hook-up of prime base number machine that will do the same work as the given stretching machine.

Total work of the single machine = ×100

The __prime factors__ of 100 = 4 × 25

We know, 4 = 2²

Also, 25 = 5²

= 2² × 5²

Now, machines with base 2, power 2 and base 5, power 2 can be hooked up to produce the same work.

Therefore, prime base machines hooked up are (×2²) and (×5²)

**✦ Try This: **If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 12

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 164(a)**

## If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines. (figure a)

**Summary:**

A hook-up of prime base number machine that will do the same work as the given stretching machine are (×2²) and (×5²).

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