# Factors of 59

Factors of 59 are 1 and 59

#### How to find factors of a number

 1.   Find factors of 59 using Division Method 2.   Find factors of 59 using Prime Factorization 3.   Find factors of 59 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 59

• Divide 59 by 1: 59 ÷ 1 : Remainder = 0
• Divide 59 by 59: 59 ÷ 59 : Remainder = 0

Hence, Factors of 59 are 1 and 59

#### 2. Steps to find factors of 59 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 59 using the division method, follow these steps:

• Step 1. Start dividing 59 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 59, which is 59. Divide 59 by 59 to obtain the quotient (1).
59 ÷ 59 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 59 is, 59 = 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 59 as shown below:

So, the prime factorization of 59 is, 59 = 59.

#### 3. Find factors of 59 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 59 would be the two numbers which, when multiplied, give 59 as the result.

The following table represents the calculation of factors of 59 in pairs:

Factor Pair Pair Factorization
1 and 59 1 x 59 = 59

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 59. They are called negative pair factors.

Hence, the negative pairs of 59 would be ( -1 , -59 ) , .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 59 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 59 are exact divisors of 59.
• Factors of 59 are 1, 59. Each factor divides 59 without leaving a remainder.

• What are the pair factors of 59?

Pair factors of 59 are (1,59).

• What are five multiples of 59?

First five multiples of 59 are 118, 177, 236, 295, 354.

• What two numbers make 59?

Two numbers that make 59 are 59 and 1.

• What is the sum of all factors of 59?

The sum of all factors of 59 is 60.

• What are factors of -59?

Factors of -59 are -1, -59.

• What are factors of 59?

Factors of 59 are 1, 59.

• Is 59 a perfect square?

No 59 is not a perfect square.

• Which is the smallest prime factor of 59?

Smallest prime factor of 59 is 59.

• Which is greatest factor of 59?

The greatest factor of 59 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 59?

Factors of 59 are 1, 59.
Odd factors of 59 are 1, 59.
Hence product of odd factors of 59 is; 1 x 59 = 59.

Joey wants to write all the prime factors of 59 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 59 are 59.
So in exponential form it can be written as 59.

How many factors are there for 59?

Factors of 59 are 1, 59.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 59. Can you predict the answer?

1 factor(s) of 59 is 1.

Sammy is puzzled while calculating the prime factors of 59. Can you help him find them?

Factors of 59 are 1, 59.
Prime factors of 59 are 59

What is prime factorization of 59?

Prime factorization of 59 is 59 = 59.

Can you help Rubel to find out the product of the even factors of 59?

Factors of 59 are 1, 59.
Even factors of 59 are 0.
Hence, product of even factors of 59 is; 0 = 0.