Table of Contents

- 1 What is the smallest positive integer that is a multiple of each of 2 4 6 and 8?
- 2 What is the smallest positive integer that has exactly 12 positive?
- 3 What is the smallest positive integer with exactly 10 factors?
- 4 What is the least positive odd integer with exactly 12 factors?
- 5 Which is the smallest perfect number in the world?
- 6 What is the sum of three positive integers?

## What is the smallest positive integer that is a multiple of each of 2 4 6 and 8?

24

Therefore, the smallest positive integer that is a multiple of each of 2, 4, 6, and 8 is 24.

## What is the smallest positive integer that has exactly 12 positive?

This means that 60, 72, and 84 should be the smallest three numbers with 12 factors.

**Which of these is the smallest integer?**

Zero is the smallest integer.

### What is the smallest positive integer with exactly 10 factors?

The required smallest number with 10 different factors is 72.

### What is the least positive odd integer with exactly 12 factors?

So 60 is the smallest number with 12 divisors. But Here I am stuck how to find smallest number having all odd divisors. Thanks.

**Which is the smallest composite number after 4?**

After 4, 6 is the next composite positive integer, which has factors 1, 2, 3 and 6. Hence, 4 is the smallest composite number (Proved).

## Which is the smallest perfect number in the world?

Perfect Numbers In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. The smallest perfect number is 6, which is equal to the sum of 1,2, and 3. Other perfect numbers are 28, 496, and 8128.

## What is the sum of three positive integers?

Three positive integers are each greater than , have a product of , and are pairwise relatively prime. What is their sum? A basketball team’s players were successful on 50% of their two-point shots and 40% of their three-point shots, which resulted in 54 points. They attempted 50% more two-point shots than three-point shots.

**When is a positive integer a nice number?**

A positive integer is nice if there is a positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to . How many numbers in the set are nice?