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If "number" is only whole numbers then: 17

If "number" can include fractions, then 1/68

Prime factorising 68 gives:

68 = 22 x 17

For a number to be a square number, all the powers of the primes in the prime factorisation of a number must be even.

68 has two primes:

  • 2 is to the power 2, so already has an even power
  • 17 is to the power 1, so needs to be multiplied by 17 to make it even.

Thus 68 needs to be multiplied by 17 to give 1156 (= 22 x 172) which is 34 (= 2 x 17) squared.

If "number" is not limited to "whole numbers", then 68 x 1/68 = 1 = 12

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โˆ™ 2012-01-14 16:27:43
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Q: What is the smallest number by which you can multiply 68 so that the answer is a square number?
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Related questions

What number can you get that is multiplied and it equals 68?

square-root of 68 times square-root of 68 = 68 (square-root of any number) squared is that number

Is 68 a square number?


What is the smallest prime number that can divide 68?


Is 68 a prime number is it a square number Maths?

68 is a composite number because it has more than two factors and it is not a prime or a square number

What does 68 equal in multplication?

68 equals 68. You can't even do multiplication with ituntil you have another number to multiply it with.

Is 68 prime or composite?

A prime number is one that only has factors of 1 and its self (3 is a prime number because you can only multiply 1 and 3 to get it). Since you can multiply 1 and 68, 2 and 34 or 4 and 17 to get 68 it is not a prime number.

When do you need to multiply more than two numbers?

In the number 68.

What is the smallest whole number that will exactly go into 68 and 12?


What is the smallest constellation?

Crux, a.k.a The Southern Cross, is the smallest constellation in the night sky. It occupies an area of only 68 square degrees.

What is 120 percent of 68?

To find 120 percent of a number, multiply the number by 1.2. In this instance, 1.2 x 68 = 81.6. Therefore, 120 percent of 68 is equal to 81.6.

What is 21 percent of 68?

To find 21 percent of a number, multiply the number by 0.21. In this instance, 0.21 x 68 = 14.28. Therefore, 21 percent of 68 is equal to 14.28.

What is 140 percent of 68?

To find 140 percent of a number, multiply the number by 1.4. In this instance, 1.4 x 68 = 95.2. Therefore, 140 percent of 68 is equal to 95.2.

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