Math, asked by naim20921, 3 months ago

find the least number by which the following must be multiplied to make them perfect

a.108
b.1323
c.5400
d.14,400​

Answers

Answered by XxMrsZiddixX
39

Prime factorising 108, we get,

Prime factorising 108, we get,108=3×3×3×2×2

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .We know, a perfect cube has multiples of 3 as powers of prime factors.

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .We know, a perfect cube has multiples of 3 as powers of prime factors.Here, number of 3's is 3 and number of 2's is 2.

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .We know, a perfect cube has multiples of 3 as powers of prime factors.Here, number of 3's is 3 and number of 2's is 2.So we need to multiply another 2 to the factorization to make 108 a perfect cube.

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .We know, a perfect cube has multiples of 3 as powers of prime factors.Here, number of 3's is 3 and number of 2's is 2.So we need to multiply another 2 to the factorization to make 108 a perfect cube.Hence, the smallest number by which 108 must be multiplied to obtain a perfect cube is 2.

Prime factorising 108, we get,108=3×3×3×2×2 =3 3 ×2 2 .We know, a perfect cube has multiples of 3 as powers of prime factors.Here, number of 3's is 3 and number of 2's is 2.So we need to multiply another 2 to the factorization to make 108 a perfect cube.Hence, the smallest number by which 108 must be multiplied to obtain a perfect cube is 2.Hence, option A is correct.

Answered by Anonymous
20

Step-by-step explanation:

collect the information about the temperature recorded in various places in India in the month of January and write them using integer

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