Question

The exponent of 2 in the prime factorisation of 144, is

Options

• 4

• 5

• 6

• 3

Answer 1

Using the factor tree for prime factorization, we have:

Therefore,

`144 =2xx2xx2xx2xx3xx3`

`144=2^4xx3^2`

Thus, the exponent of 2 in 144 is 4.

Hence the correct choice is (a).