Q1 of 57 Page 31

The sum of the powers of the prime factors of 196 is:

The Square of 14 is 196.

196 = 14 × 14


= 2 × 2 × 7 × 2


= 22 × 72


Power of 2 = 2


Power of 7 = 2


Sum of powers = 2 + 2


= 4


So correct answer is C.

More from this chapter

All 57 →
2

Write the decimal expansions of the following rational numbers and decide whether they are terminating or not.

(i)


(ii)


(iii)


3

For the decimal expansions given below decide whether this number is a rational number or not. If it is a rational number then write your note about the prime factorization of its denominator.

(i) 0.120120012000120000….


(ii) 43.123456789


(iii)


2

If two numbers are written in the form of m = pq3 and n = p3q2 then find the HCF of m, n when p, q are prime numbers:

 3

The HCF (Highest Common Factor) of 95 and 152 is :