# Divisors of 61

## Divisors of 61

The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :

Accordingly:

61 is multiplo of 1

61 has 1 positive divisors

## Parity of 61

61is an odd number,as it is not divisible by 2

## The factors for 61

The factors for 61 are all the numbers between -61 and 61 , which divide 61 without leaving any remainder. Since 61 divided by -61 is an integer, -61 is a factor of 61 .

Since 61 divided by -61 is a whole number, -61 is a factor of 61

Since 61 divided by -1 is a whole number, -1 is a factor of 61

Since 61 divided by 1 is a whole number, 1 is a factor of 61

## What are the multiples of 61?

Multiples of 61 are all integers divisible by 61 , i.e. the remainder of the full division by 61 is zero. There are infinite multiples of 61. The smallest multiples of 61 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 61 since 0 × 61 = 0

61 : in fact, 61 is a multiple of itself, since 61 is divisible by 61 (it was 61 / 61 = 1, so the rest of this division is zero)

122: in fact, 122 = 61 × 2

183: in fact, 183 = 61 × 3

244: in fact, 244 = 61 × 4

305: in fact, 305 = 61 × 5

etc.

## Is 61 a prime number?

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 61, the answer is: yes, 61 is a prime number because it only has two different divisors: 1 and itself (61).

## How do you determine if a number is prime?

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 61). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 7.81 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.

## Numbers about 61

Previous Numbers: ... 59, 60

Next Numbers: 62, 63 ...

## Prime numbers closer to 61

Previous prime number: 59

Next prime number: 67