# Factors of 31

The factors of 31 are numbers that can divide by 31 exactly and leave no remainder. Because 31 is a prime number, there are only two factors. The pair factors for 31 can be either positive or negative. The pair factor for 31 can be either (1, 31) OR (-1, 31). will obtain the original number if we multiply the pair of negative numbers, such as -1 and 31.

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## Factors of 31 Details

Factors of 31: 1 and 31
Negative Factors of 31: -1 and -31
Prime Factors of 31: 31
Prime Factorization of 31: 1 × 31
Sum of Factors of 31: 12

## What are the factors of 31?

The factors of 31 are numbers that can divide 31 completely, leaving the rest 0. The number 31 is also known as the factors of 31. Because 31 is a prime number, there are only two factors, such as 1 or the number itself. The factors of 31, therefore, are 1 and 31.

## How to Calculate the factors of 31?

The method of calculating the factors of 31 is as follows. First, every number is divisible by itself and 1.
Therefore, the factors of 31 are 1, …
We can find all factors of a number by dividing it by 1, 2, 3, 4…

(i) 31 ÷ 1 = 31

This division gives the remainder 0 and so is divisible by 31. So please put them 1 and 31 in your factor list.

1, …….. 31

(ii) 31 ÷ 2 = 8.5

This division gives the remainder 8.5, needing to be more thoroughly divided. So we will not write 2 and 8.5 on the list.

(iii) 31 ÷ 3 = 5.66

This division gives the remainder 5.66, needing to be more thoroughly divided. So we will not write 3 and 5.66 on the list.

(iv) 31 ÷ 4 = 4.25

This division gives the remainder 4.25, needing to be more thoroughly divided. So we will not write 4 and 4.25 on the list.

(v) 31 ÷ 5 = 3.4

This division gives the remainder 3.4, not being thoroughly divided. So we will not write 5 and 3.4 on the list.

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 31 are a factor of 31.

Factors of – 31

As – 1 and – 31 are negative factors, you get a positive number by multiplying two negatives, like (- 1) × (- 31) = 31.

So – 1, – 31 are a negative factors of 31.

## All factors of 31

Here is a list of all the positive and negative factors of 31 in numerical order.

Positive Factors of 31 = 1, 31
Negative Factors of 31 = – 1, – 31

## Factors of 31 in pairs

1 and 31 are a factor pair of 31 since 1 x 31 = 31

Therefore, the pair factors of 31 are (1, 31).