Leasat number to get a number divided or multiplied or perfect square
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The easy way to answer this is to factor the number. The last 2 digits tell me that the number is divisible by 4. Factoring out the 4 leaves us with 2079. An examination of
These digits tells us it is divisible by 9. Factoring out the 9 leaves 231. This looks like it might be divisible by 7. Factoring out the 7 leaves 33 which can be factored to 3 and 11.
Now we can list the factors found: 3 4 7 9 11. Of these, the 4 and 9 are already squares, so we don’t need to worry about them. That leaves us with the 3, 7, and 11. We could turn each of these into squares by multiplying by 3, 7 and 11. 3 x 7 x 11 = 231. This is what we would have to multiply our number by to get a perfect square.
231 x 8316 gives us 1,920,996 which has a square root of 1,386.
These digits tells us it is divisible by 9. Factoring out the 9 leaves 231. This looks like it might be divisible by 7. Factoring out the 7 leaves 33 which can be factored to 3 and 11.
Now we can list the factors found: 3 4 7 9 11. Of these, the 4 and 9 are already squares, so we don’t need to worry about them. That leaves us with the 3, 7, and 11. We could turn each of these into squares by multiplying by 3, 7 and 11. 3 x 7 x 11 = 231. This is what we would have to multiply our number by to get a perfect square.
231 x 8316 gives us 1,920,996 which has a square root of 1,386.
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