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Q: What is the sum of all positive integers less than 10000 that are divisible by three but not divisible by two?

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Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.

No. If a number is divisible by three, the sum of its digits will be divisible by three. Obviously, the sum of the digits of 10000 is 1, and 1 is not divisible by 3, so 10000 is not divisible by 3.

There must be three consecutive integers to guarantee that the product will be divisible by 6. For the "Product of three consecutive integers..." see the Related Question below.

The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.

6,12,18.

The first three positive integers, 1, 2, and 3, satisfy this condition.

The total number of integers between 100 and 300 that are divisible by three is 66.

Not sure what thress is. If three, then there is no answer since the sum (or product) of any three consecutive integers must be divisible by 3.

Any three consecutive integers are divisible by three because it can be shown that the sum divided by three is the middle number.

30, which is the smallest positive integer divisible by the first three primes: 2, 3 and 5.

1, 3 and 81 are three.

Yes. Only by multiplying a positive by a negative, will the product be negative.

yes always this is true' example 1,2,3 sum is 6 and is divisible by 3

Here are some consecutive odd integers. All must follow this form: x+x+2+x+2=3x + 6 6 is divisible by 3. So is 3x. If you add two integers that are divisible by 3, it is still divisible by three. The question is not about odd integers, but consecutive integers. This should be x + x+1 + x+2 =3x+3 A bit simpler would be the three in a row : x-1, x, x+1 which add up to 3x which can be divided by 3.

It is a set of three positive integers.

It is a string of three positive integers.

It is a list of three positive integers.

Integers divisible by 8 have their last 3 digits divisible by 8. So: 2934829387957008 is divisible by 8 because the last three digits are divisible by 8 (008 / 8 = 1). 2348012934801298304400 is also (400 / 8 = 50). 123006 is not (006 / 8 = 0.75).

1, 2 and 3.

10 of them.

All odd whole numbers are not divisible by 2.The term "whole number" has three distinct definitions, in my experience.- Positive Integers ( 1, 2, 3, ... )- Non-Negative Integers ( 0, 1, 2, 3, ... )- Integers ( ..., -3, -2, -1, 0, 1, 2, 3, ... )The largest whole number that is not divisible by two would be the largest odd number, which is not defined.The smallest Positive Integer which is not divisible by two would be 1.The smallest Non-Negative Integer which is not divisible by two would be 0.The smallest Integer which is not divisible by two would be the most negative odd number, which is not defined.

The 3 consecutive odd positive integers are 7, 9 and 11.

The product of three positive numbers is positive. The product of three negative numbers is negative.

Three of them.

It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.