Question

by which least number 2156 must be multiplied to get a perfect square number​

Answer 1

Answer:

the no. must be multiplied with = 11

Step-by-step explanation:

2156*11=23716

/=square root

/23716=154

Answer 2

Answer:

Least number 2156 is to be multiplied is = 11

The new number is 23716

Step-by-step explanation:

Prime factorize the number 2156

2 - 2156

2 - 1078

7 -  539

7 -  77

11 -  7

7  - 1

The prime factors 2 * 2 * 7 * 7 * 11

= $2^{2} * 3^{2} *11$

• Since 2 and 3 are in squares and 11 is not ,

• If we multiply the number by  another 11 we will get a perfect square

∴ 2156 * 11 = 23716

• which is the square of 154

Prime factors of 23716 = 2 * 2 * 7 * 7 * 11 * 11

• Here all the present three number have their twin.

hope it helps you..