Question

Find the smallest number that must be divided to make it 826875 is a perfect square

Answer 1

Answer:

3

Step-by-step explanation:

826875 = 3 * 3 * 3 * 5 * 5 * 5 * 5 * 7 * 7

826875 = 3^3 * 5^4 * 7^2

Now,

For, 826875 to be a perfect square number, it is to be divided by 3 so that,

its prime factorization becomes,

3^2 * 5^4 * 7^2.

THE PERFECT SQUARE NUMBER WILL BE, 275625, which is the square of 525.

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