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All but the square numbers - 53 of them.

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Q: How many integers less than 60 have an even number of factors?
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How many positive integers less than 2010 have an odd number of factors?

There are 44 positive integers less than 2,010 that have an odd number of factors.


How many positive integers less than 2008 have an even number of divisors?

There are 1,963 such integers. Every factor of a number has a pair. The only time there will be an odd number of factors is if one factor is repeated, ie the number is a perfect square. So the question is really asking: how many positive integers less than 2008 (in the range 1 to 2007) are not perfect squares. √2007 = 44 and a bit (it lies between 44 and 45) So there are 44 integers less than (or equal to) 2007 which are perfect squares → 2007 - 44 = 1963 integers are not perfect squares in the range 1-2007 and have an even number of factors (divisors).


You are greater than 36 and less than 70 One of your factors is 9 you are an even number What number are you?

The number is 54. It is greater than 36 and less than 70. One of its factors is 9 and it is an even number.


What is a number less then 50 even and has nine factors?

36


What number has 6 factors is a multiple of 4 and is less than 1?

The concept of the number of factors is appropriate only with positive integers. Otherwise, if p is a factor of the given number n, do you also count -p? That would double the number of factors. So are there 3 factors or 6?


What whole number which is odd less than a hundred has the most factors as the even number?

There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!


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.


Which has more elements the set of positive odd integers less than 50 or the set of positive even integers less than 50?

The set of positive odd integers.


How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?

Five of them.


What is the even integers less than or equal to 11?

10, 8, 6, 4, 2, 0 and all the negative even integers.


Which even number less than 100 has an odd number of factors and the digits of this number make up 10?

64


How many positive integers less than 100 have exactly 4 factors?

32