Test Index

BECE Mathematics 2011 Paper

Question : 4

Total: 40

Solution:

Concept:

A number is written as a product of primes by repeated division by prime factors.

Explanation:

Divide

2700

by the smallest prime,

2

2700 \div 2 = 1350

1350 \div 2 = 675

So,

2700 = 2^2 \times 675

Now divide

675

by the next prime,

3

675 \div 3 = 225

225 \div 3 = 75

75 \div 3 = 25

So,

675 = 3^3 \times 25

Finally,

25 = 5^2

Therefore,

2700 = 2^2 \times 3^3 \times 5^2

Answer:

2700 = 2^2 \times 3^3 \times 5^2

Option C.

Go to Question:

Prev Question

Next Question