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The long but fool-proof way is to find the complete prime factorisation of the number. Then group all the factors into pairs, rejecting any that cannot be paired. The product of the numbers that are left is the largest square factor.

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Q: How do you find the largest square factor of whole numbers?
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Related questions

What is the greatest square number that is a factor 72 and a whole number?

The easiest way to find that answer is to first factor 72 into prime format: 72 = 2x36 = 2x2x18 = 2x2x2x9 = 2x2x2x3x3 Now, look for prime numbers that occur in pairs, as any pair of like numbers in prime factorial can be combined to form a square, thus: 2x2x2x3x3 = 2(2x2)(3x3) = 2(4)(9) Lastly, multiply your square numbers together (the product of multiplying squares together will always yield another square) to get your answer: (4)(9) = 36, which is the largest whole-number, square factor of 72.


Numbers with square root that are whole numbers?

Numbers with square roots that are whole numbers


What is the smallest common factor of 36 and 54?

The least common factor of any set of numbers is 1 .


How does the greatest common factor relate two or not whole numbers?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.


What 2 or more numbers for a gcf represent?

The GCF is the largest whole number that is a factor for both of the numbers of interest. GCF is useful when simplifying fractions.


What is the term for a whole number that is a factor of two or more numbers?

A whole number that is a factor of two or more numbers is a common factor.


What is the largest prime number that has a square root that is less than 20?

Prime numbers can't have whole number square roots, of course, but the largest prime number under 400 is 397.


A whole number that is a factor of two or more whole numbers?

A common factor.


What odd whole numbers have 12 as a factor?

No odd whole numbers have 12 as a factor. 1 and 3 are odd numbers that are factors of 12.


Why are there greatest common factors and not least common factors?

1 is the least common factor of all whole numbers, so there is nothing to choose for a least common factor. The Greatest Common Factor (GCF) of a set of two or more numbers is the largest factor that will divide into every number in the set without leaving any remainder. 1 is the least, or smallest, factor common to all whole numbers.


How can you express (12 4 16) as a multiple of a sum of whole numbers with no common factor?

It is not possible to express something as a sum of whole numbers with no common factor. All whole numbers have at least 1 as a common factor.


Is a whole number that is a factor of two or more nonzero whole numbers?

a common factor