Question:
The exponent of 2 in the prime factorisation of 144, is
(a) 4
(b) 5
(c) 6
(d) 3
Solution:
Using the factor tree for prime factorization, we have:
Therefore,
$144=2 \times 2 \times 2 \times 2 \times 3 \times 3$
$144=2^{4} \times 3^{2}$
Thus, the exponent of 2 in 144 is 4.
Hence the correct choice is (a).
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