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Why the factors of a number which is not a perfect square or a prime one should be less than the square root of the number and the other factor should be greater than square root of number?
Wiki User
∙ 12y ago
The square root of the number acts sort of like the 'multiplicative middle' of the number. When you multiple the square root by itself, you get back to original number.
When you search for factors of the number (easier to see when thinking of real numbers) it's intuitive that you must have one number on either side of this 'multiplicative middle'
Wiki User
∙ 12y ago
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What does Abundant Deficient and perfect mean?
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
What is a number greater than one that has two factors called?
If the number 1 is considered a factor, then these are the prime numbers. Their only factors are 1 and themselves.
What are all the number that are factor of 7?
all perfect cubes (any number powered by 3) by adding or subtracting 1 become factor of 7 except base number as 7 and its factors.
What least number multiply to 2306 to make it perfect square?
You need to factor it, into prime factors. Then, for every prime factor that appears an ODD number of times, you need to multiply 2306 by this prime factor. Multiply all such prime factors together to get your answer.
Why are no prime number a perfect number?
The only factors of a prime are 1 and itself. So, the only factor smaller than the number itself is 1. Therefore the sum of all factors smaller than the number is 1. But 1 is not a prime number. Thus, there is no prime number that is a perfect number.
What type of factor has an odd number of factors?
A perfect square has an odd number of factors.
What do you call an odd number factor?
I would call an odd number factor a factor that is an odd number. I would call a number with an odd number of factors a perfect square.
When you have a number that has exactly two equal factors each factor is called?
If a number has equal factors, it is a perfect square and the equal factors would be square roots.
If the ones digit of a number greater then 1 is 0 what factor or factors must that number have?
5 and 10
What does Abundant Deficient and perfect mean?
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
Write an algorithm for perfect number or not?
1. Get any no. 2. Find it factors. 3. Add its factor. 4. If sum of its factors is equal to itself then it is a perfect no. otherwise not
What is a number greater than one that has two factors called?
If the number 1 is considered a factor, then these are the prime numbers. Their only factors are 1 and themselves.
Do all square numbers have an odd number of factors?
Yes, they do. Factors come in pairs. When a number is squared it is only one factor. Example: 16 2x8 = 2 factors 4x4 = 1 factor 1x16 = 2 factors Total = 5 factors *** That's true of integers (whole numbers) that are perfect squares. It turns out that every whole number has an even number of factors, but if the number is a perfect square, then two of them are the same number, so there appear to be an odd number of them.
What is an even number greater than 3 and is a factor of 20?
The factors of 20 are: 1,2,4,5,10,20 So; 4 and 10 are the even factors of 20 which are greater than 3.
How many integers less than 100 have an odd number of factors?
There are 9 integers less than 100 that have an odd number of factors.Every factor of a number has a pair, eg 2 & 3 are a factor pair of 6; and so it would be expected that every number has an even number of factors.However, if the factor pair of a number are the same number (eg 6 & 6 are a factor pair of 36), then there will be an odd number of factors.When there is a repeated factor like this, the number is a perfect square.Thus only perfect squares have an odd number of factors.Less than 100 there are 9 perfect squares (1, 4, 9, 16, 25, 36, 49, 64 & 81) which have an odd number of factors.100 itself is a perfect square and also has an odd number of factors, but the question asked for those numbers less than 100 with an odd number of factors.
What is the largest perfect square factor of 210?
Except in this case, the largest square factor is 1.
What are the greater common factor of 32?
You cannot have a common factor with only one number. You must have at least 2 to compare the factors.
