Question

5. (441 x 75 x 113) में अभाज्य गुणनखंड कुल कितने हैं ?
(i) 8
(ii) 19
(iii) 30​

Answer 1

QUESTION:-

✯.(441 x 75 x 113) What are the prime factors in the total?

options,

✯8

✯19

✯30

ANSWER✔

$\sf\therefore taking\: 441$

$\sf\implies 441=3 \times 3 \times 7 \times 7$

$\sf\implies (3)^2 \times (7)^2$

$\sf\therefore taking\: 75$

$\sf\implies 441=3 \times 5 \times 5$

$\sf\implies (3) \times (5)^2$

$\sf\underline\bold{113\:is\:a\:prime\:no.}$

$\sf\therefore we\:get$

$\sf\therefore 3$

\large{\boxed{\bf{\implies 3}}}