Question

the smallest number by which 874 should be divided to get a perfect square

Answer 1

Answer:

The smallest number by which 874 should be divided to get a perfect square - 7723991

Step-by-step explanation:

Answer 2

874 is the smallest number by which 874 must be divided to make it a perfect square

Solution:

Given that,

We have to find the smallest number by which 874 must be divided to make it a perfect square

Perfect square: integer that is obtained when a integer is multiplied by itself

Step 1: write prime factorization of 874

$874 = 2 \times 19 \times 23$

For a perfect square, each distinct prime factor must occur an even number of times

But here, 2 and 19 and 23 occurs only once

Thus,

To get perfect square we must divide by 2 x 19 x 23 = 874

$\frac{874}{874} = 1$

We know , 1 is a perfect square

Thus, 874 is the smallest number by which 874 must be divided to make it a perfect square

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