Table of Contents

- 1 What is the smallest positive integer with exactly 16 factors?
- 2 What is the smallest positive integer that has exactly 16 factors and is not divisible by 6?
- 3 What is the greatest positive integer?
- 4 What is the smallest number with 20 divisors?
- 5 How many factors does an integer number have?
- 6 Which is a factor of 16 in this calculator?
- 7 Why does the factoring calculator only show the positive factors?

## What is the smallest positive integer with exactly 16 factors?

120

In fact 120 is the smallest number having 16 divisors.

## What is the smallest positive integer that has exactly 16 factors and is not divisible by 6?

So, the number is 120.

**What is the smallest positive integer with exactly 20 factors?**

240

240 is the smallest integer with exactly 20 positive divisors. (1) exponents are 1 and 14: (214) * (31) = 49152 is the smallest such integer.

### What is the greatest positive integer?

The first positive integer is one greater than 0 and the number is 1. The greatest negative integer is the first negative integer from zero. The first negative integer from zero is one less than 0 and the number is – 1.

### What is the smallest number with 20 divisors?

In the first case, the exponent is 19, so the smallest number with 20 divisors with only one prime factor (which is chosen to be 2 in order to produce the smallest number) is \(2^{19}\).

**How many divisors does 240 have?**

20 divisors

240 is: a semiperfect number. a concatenation of two of its proper divisors. a highly composite number since it has 20 divisors total (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240), more than any previous number.

## How many factors does an integer number have?

It is important to note that every integer number has at least two factors: 1 and the number itself. If a number has only two factors that number is a prime number. Example Factor Lists

## Which is a factor of 16 in this calculator?

We know 2 and 8 are factors of 16 because 2 x 8 = 16. 4 is a factor of 16 because 4 x 4 = 16. Also 1 and 16 are factors of 16 because 1 x 16 = 16. The factors of 16 are 1, 2, 4, 8, 16.

**What are the factor pairs for the number 18?**

The square root of 18 is 4.2426, rounded down to the closest whole number is 4 Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18. All of the above information and methods generally apply to factoring negative numbers.

### Why does the factoring calculator only show the positive factors?

Enter an integer number to find its factors. For positive integers the calculator will only present the positive factors because that is the normally accepted answer. For example, you get 2 and 3 as a factor pair of 6.