Question

write the exponent of 2 in the prime factors of 144

Answer 1

Prime factorisation of 144 = 2×2×2×2×3×3 = 2^4×3^2
Therefore the exponents of 2 in prime factorisation of 144 is 24.

Answer 2

$\bold{2^{4} \times 3^{2}}$ is the prime factor of the number 144.

To find:

Find the possible prime factors of the number 144.

Solution:

From the given,

The possible factors of 144 in terms of 2 is  

$144=12 \times 12$

$=6 \times 2 \times 6 \times 2$  

$=2 \times 3 \times 2 \times 2 \times 3 \times 2$

$=2^{4} \times 3^{2}$

Factors which are expressed by the use of prime numbers; it is referred as prime factors.  

Since 2, 3 are the prime numbers so that we can express the value of 144 with prime numbers as $2^{4} \times 3^{2}$