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Earn +20 ptsQ: From 1 to 1000 which numbers have a odd number of factors?
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What type of number has odd numbers as factors?
Both odd and even numbers may have odd numbers as factors.
Which numbers between 50 and 60 have an odd number of factors?
No numbers in that range have an odd number of factors.
Is the product of an odd number of factors always a negative number?
Only if an odd number of the factors are negative numbers.
Are the factors of an odd number always odd?
Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.
What whole number less than 150 has odd number of factors?
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
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