# Factors of 59

The factors of 59 are numbers that can divide by 59 exactly and leave no remainder. Because 59 is a prime number, there are only two factors.

## Contents

The pair factors for 59 can be either positive or negative. The pair factor for 59 can be either (1, 59) OR (-1, 59). will obtain the original number if we multiply the pair of negative numbers, such as -1 and 59.

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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 59?

The factors of 59 are numbers that can divide 59 completely, leaving the rest 0. The number 59 is also known as the factor of 59. Because 59 is a prime number, there are only two factors, such as 1 or the number itself. The factor of 59, therefore, are 1 and 59.

### How to Calculate the factors of 59?

The method of calculating the factors of 59 is as follows. First, every number is divisible by itself and 1.
Therefore, the factors of 59 are 1, …
We can find all factors of a number by dividing it by 1, 2, 3, 4…

(i) 59 ÷ 1 = 59

This division gives the remainder 0 and so is divisible by 59. So please put them 1 and 59 in your factor list.

1, …….. 59

(ii) 59 ÷ 2 = 29.5

This division gives the remainder 29.5, needing to be more thoroughly divided. So we will not write 2 and 29.5 on the list.

(iii) 59 ÷ 3 = 19.66

This division gives the remainder 19.66, needing to be more thoroughly divided. So we will not write 3 and 19.66 on the list.

(iv) 59 ÷ 4 = 14.75

This division gives the remainder 14.75, needing to be more thoroughly divided. So we will not write 4 and 14.75 on the list.

(v) 59 ÷ 5 = 11.8

This division gives the remainder 11.8, not being thoroughly divided. So we will not write 5 and 11.8 on the list.

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

So 1, 59 are a factor of 59.

### Factors of -59

As – 1 and – 59 are negative factors, you get a positive number by multiplying two negatives, like (- 1) × (- 59) = 59.

So – 1, – 59 are a negative factor of 59.

### All factors of 59

Here is a list of all the positive and negative factors of 59 in numerical order.

Positive Factors of 59 = 1, 59
Negative Factors of 59 = – 1, – 59

### Factors of 59 in pairs

1 and 59 are a factor pair of 59 since 1 x 59 = 59

Therefore, the pair factors of 59 are (1, 59).