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There are no odd multiples of 6. If a number is a multiple of 6 then it is divisible by 6. If a number is divisible by 6 it is also divisible by 2 and 3 (see the fundamental theorem of arithmetic). If a number is divisible by 2 then it is even by definition. Therefore any number divisible by 6 is even.
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What is a number that you odd less than 20 but is a multiple of 5?
'5' & '15' are odd numbers less than 20 , and are also multiples of '5'.
An odd multiple of 6 which is less than 100?
All multiples of 6 are even numbers.
Why are all multiples of 3 odd and even?
The multiples of all odd numbers are odd and even. Odd x odd = odd. Odd x even = even. Since odd and even numbers alternate, the multiples will alternate as well.
How many positive integers less than 100 have an odd number of positive divisors?
The squares -- nine of them.
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.
