Question

sum of all the factor of 1176 is​

Answer 1

✳ Verified Answer

Hey Mate! Here Is Your Answer.

Prime factorization: 1176 = 2 × 2 × 2 × 3 × 7 × 7, which can be written 1176 = 2³ × 3 × 7²

The exponents in the prime factorization are 3, 1 and 2.

Adding one to each and multiplying we get (3 + 1)(1 + 1)(2 + 1) = 4 × 2 × 3 = 24. Therefore 1176 has exactly 24 factors.

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Answer 2

Question :-

• sum of all the factor of 1176 is?

Solution :-

Prime Factorisation of 1176=

$2 {}^{3} \times 3 {}^{1} \times 7 {}^{2}$

Hence,

sum of all factors =

$(2 {}^{0} + 2 {}^{1} + 2 {}^{2} + 2 {}^{3} )(3 {}^{0} + 3 {}^{1} )(7 {}^{0} + 7 {}^{1} + 7 {}^{2} )$

$= 15 \times 4 \times 57 = 3420 \: \: \: \: ans$