# Factors of 86

Factors of 86 are 1, 2, 43, and 86

#### How to find factors of a number

 1.   Find factors of 86 using Division Method 2.   Find factors of 86 using Prime Factorization 3.   Find factors of 86 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 86

• Divide 86 by 1: 86 ÷ 1 : Remainder = 0
• Divide 86 by 2: 86 ÷ 2 : Remainder = 0
• Divide 86 by 43: 86 ÷ 43 : Remainder = 0
• Divide 86 by 86: 86 ÷ 86 : Remainder = 0

Hence, Factors of 86 are 1, 2, 43, and 86

#### 2. Steps to find factors of 86 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 86 using the division method, follow these steps:

• Step 1. Start dividing 86 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 86, which is 2. Divide 86 by 2 to obtain the quotient (43).
86 ÷ 2 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 86 is, 86 = 2 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 86 as shown below:

So, the prime factorization of 86 is, 86 = 2 x 43.

#### 3. Find factors of 86 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 86 would be the two numbers which, when multiplied, give 86 as the result.

The following table represents the calculation of factors of 86 in pairs:

Factor Pair Pair Factorization
1 and 86 1 x 86 = 86
2 and 43 2 x 43 = 86

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 86. They are called negative pair factors.

Hence, the negative pairs of 86 would be ( -1 , -86 ) , ( -2 , -43 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 86 is a factor of itself.
• 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, 2, 43, 86 are exact divisors of 86.
• 1 is a factor of every number. Eg. 1 is a factor of 86.
• Every number is a factor of zero (0), since 86 x 0 = 0.

• What are the pair factors of 86?

Pair factors of 86 are (1,86), (2,43).

• What are five multiples of 86?

First five multiples of 86 are 172, 258, 344, 430, 516.

• What two numbers make 86?

Two numbers that make 86 are 2 and 43.

• What is the sum of all factors of 86?

The sum of all factors of 86 is 132.

• What are factors of -86?

Factors of -86 are -1, -2, -43, -86.

• What are factors of 86?

Factors of 86 are 1, 2, 43, 86.

• Is 86 a perfect square?

No 86 is not a perfect square.

• Which is the smallest prime factor of 86?

Smallest prime factor of 86 is 2.

• Which is greatest factor of 86?

The greatest factor of 86 is 43.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 86?

Factors of 86 are 1, 2, 43, 86.
Odd factors of 86 are 1, 43.
Hence product of odd factors of 86 is; 1 x 43 = 43.

Joey wants to write all the prime factors of 86 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 86 are 2, 43.
So in exponential form it can be written as 2 x 43.

How many factors are there for 86?

Factors of 86 are 1, 2, 43, 86.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 86. Can you predict the answer?

3 factor(s) of 86 are 1, 2, 43.

Sammy is puzzled while calculating the prime factors of 86. Can you help him find them?

Factors of 86 are 1, 2, 43, 86.
Prime factors of 86 are 2, 43

What is prime factorization of 86?

Prime factorization of 86 is 2 x 43 = 2 x 43.

Can you help Rubel to find out the product of the even factors of 86?

Factors of 86 are 1, 2, 43, 86.
Even factors of 86 are 2, 86.
Hence, product of even factors of 86 is; 2 x 86 = 172.