# Factors of 61

The factors of 61 are numbers that can divide by 61 exactly and leave no remainder. Because 61 is a prime number, there are only two factors. The pair factors for 61 can be either positive or negative. The pair factor for 61 can be either (1, 61) OR (-1, 61). will obtain the original number if we multiply the pair of negative numbers, such as -1 and 61.

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Prime Numbers

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms and are also used in the study of number theory.

Composite Numbers

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 61?

The factors of 61 are numbers that can divide 61 completely, leaving the rest 0. The number 61 is also known as the factors of 61. Because 61 is a prime number, there are only two factors, such as 1 or the number itself. The factors of 61, therefore, are 1 and 61.

### How to Calculate the factor of 61?

The method of calculating the factors of 61 is as follows. First, every number is divisible by itself and 1.
Therefore, the factor of 61 are 1, …
We can find all factors of a number by dividing it by 1, 2, 3, 4…

(i) 61 ÷ 1 = 61

This division gives the remainder 0 and so is divisible by 61. So please put them 1 and 61 in your factor list.

1, …….. 61

(ii) 61 ÷ 2 = 30.5

This division gives the remainder 30.5, needing to be more thoroughly divided. So we will not write 2 and 30.5 on the list.

(iii) 61 ÷ 3 = 20.33

This division gives the remainder 20.33, needing to be more thoroughly divided. So we will not write 3 and 20.33 on the list.

(iv) 61 ÷ 4 = 15.25

This division gives the remainder 15.25, needing to be more thoroughly divided. So we will not write 4 and 15.25 on the list.

(v) 61 ÷ 5 = 12.2

This division gives the remainder 12.2, not being thoroughly divided. So we will not write 5 and 12.2 on the list.

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

So 1, 61 are a factor of 61.

### Factors of – 61

As – 1 and – 61 are negative factor, you get a positive number by multiplying two negatives, like (- 1) × (- 61) = 61.

So – 1, – 61 are a negative factors of 61.

### All factors of 61

Here is a list of all the positive and negative factor of 61 in numerical order.

Positive Factors of 61 = 1, 61
Negative Factors of 61 = – 1, – 61

### Factors of 61 in pairs

1 and 61 are a factor pair of 61 since 1 x 61 = 61

Therefore, the pair factor of 61 are (1, 61).