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1, 4, 9, 16, 25, 36, 49, 64, 81, 100 -- the square numbers.

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โˆ™ 2016-03-11 04:58:33
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Q: What are all the integers less than 103 that have an odd number of positive divisors?
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Related questions

How many positive integers less than 100 have an odd number of positive divisors?

The squares -- nine of them.


How many positive integers less than or equal to 500 have exactly 3 divisors?

45


Why is 35 deficient is it because its greater to the submultiple of all positive integers?

35 is a deficient number because the sum of its proper divisors is less than the number itself.


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.


What are all the positive integers less than 50000 that have 11 divisors?

2. That is the only one. And the 11 divisors are 2k where k = 0, 1, ,2, ... , 10


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).


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.


Where can you find the number 15?

In a list of positive integers less than 20.


What number has nine divisors and is less than forty?

The number you are seeking is 36. The divisors are - 36,1,18,2,12,3,9,4,6.


What is the number of positive integers less than 6000 which are divisible by 5 but not by 9?

533


What are the rules for adding and subtracting integers?

when you add two positive integers the answer is always positive when you add two negative integers the answer is positive when you add one negative and on positive integer, the answer is negative subtracting two negative numbers gets a negative answer subtracting two positive numbers- the answer depends subtracting a negative and positive number- the answer depends, the positive number would have to be bigger than the negative to achieve a negative number, and if the positive number is less, than the answer is still negative


Why 21 is not a perfect number?

First, you want to know the definition of a perfect number: A perfect number is an integer which is equal to the sum of all its positive integer divisors that are less than itself. Example: The positive integer divisors of 6, less than 6, are 1, 2, and 3. The sum of those divisors is 1 + 2 + 3 = 6. Therefore, 6 is a perfect number. Now, 21 does not meet this definition and therefore is not a perfect number. Let's try it. There are three positive divisors of 21, namely, 1, 3, and 7, that are less than 21, itself. (There are no others.) But the sum of these divisors is 1 + 3 + 7 = 11, which is not equal to 21. Therefore, we confirm that 21 is not a perfect number.


What is the sum of the first positive odd integers less than 101?

The sum of the first positive odd integers less than 101 is 10,000.


Is the number 14 a abundant perfect or deficient number?

14 is deficient. It is less than the sum of it's divisors. In mathematics, a deficient number or defective number is a number n for which σ(n) < 2n. Here σ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including n itself Proof.. divisors of 14 are 1,2, and 7 and 14. Now, 2n=28 and and the sum the all the divisors including 14 is 24<28


What is a whole number less than 40?

All positive integers less than or equal to 39 are whole numbers less than 40.


Why does negative integers less than positive integers?

the negative integers are below 0, for example -6.


What is a positive integer and what is a negtive integer?

Positive integers are greater than zero. Negative integers are less than zero.


How many positive integers less than 1000 are not divisible by 3?

666 integers.


What is a perfect Abundant Or dificient number?

A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.


Which of these integers has an absolute value greater then one?

No integers are specified in the question, although the answer would be any negative number less than -2 or any positive number greater than 2.


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.


How many positive integers are less then 50?

49


What number has 9 divisors that are less than 40?

36


Is it true that the sum of a negative integer and a positive integer is always positive?

It depends, if a number with positive integers is greater than the number with the negative integer therefore the sum will be in positive integer. And if the number with positive integer is less than the number with the number with negative integer then the sum will be in negative integer.


What is the differences between positive and negative integer?

Positive integers are greater than zero, negative integers are less than zero. The set of positive integers is closed under multiplication (and form a group), the set of negative integers is not.

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