1575 - is a perfect square-

Prime factorisation of 1575: [ 5 amp; 1575; 5 amp; 315; 3 amp; 63; 3 amp; 21; nbsp; amp; 7; ] ...

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Byju's Answer

Standard VIII

Mathematics

Addition of Odd Numbers to Get Squares

1575 × is a p...

Question

1575 $\times$ is a perfect square.

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Solution

The correct option is D 7
Prime factorisation of 1575:

$\begin{matrix} 5 & 1575 5 & 315 3 & 63 3 & 21 7 \end{matrix}$

$1575 = 5 \times 5 - ---- - \times 3 \times 3 - ---- - \times 7 - I n p a i r I n p a i r N o t i n p a i r$

So, in order to achieve a perfect square, we need to multiply 1575 with 7.

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Similar questions

Q. 1575

\times

is a perfect square.

Q. Find the least multiple of 1575 which is a perfect square.

Q. Find the smallest number by which 1575 must be divided so that the quotient becomes a perfect square.

By what numbers should each of the following be divided to get a perfect square in each case? Also find the number whose square is the new number?
(i) 16562 (ii) 3698
(iii) 5103 (iv) 3174
(v) 1575

Q. should be multiplied to 1575 to make it a square number.

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1575 × is a perfect square.

The correct option is D 7Prime factorisation of 1575: 5157553153633217 1575=5×5––––––×3×3––––––×7– In pair In pair Not in pair So, in order to achieve a perfect square, we need to multiply 1575 with 7.

1575 $\times$ is a perfect square.