# Factors of 267

Factors of 267 are 1, 3, 89, and 267

#### How to find factors of a number

 1.   Find factors of 267 using Division Method 2.   Find factors of 267 using Prime Factorization 3.   Find factors of 267 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 267

• Divide 267 by 1: 267 ÷ 1 : Remainder = 0
• Divide 267 by 3: 267 ÷ 3 : Remainder = 0
• Divide 267 by 89: 267 ÷ 89 : Remainder = 0
• Divide 267 by 267: 267 ÷ 267 : Remainder = 0

Hence, Factors of 267 are 1, 3, 89, and 267

#### 2. Steps to find factors of 267 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 267 using the division method, follow these steps:

• Step 1. Start dividing 267 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 267, which is 3. Divide 267 by 3 to obtain the quotient (89).
267 ÷ 3 = 89
• Step 3. Repeat step 1 with the obtained quotient (89).
89 ÷ 89 = 1

So, the prime factorization of 267 is, 267 = 3 x 89.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 267 as shown below:

So, the prime factorization of 267 is, 267 = 3 x 89.

#### 3. Find factors of 267 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 267 would be the two numbers which, when multiplied, give 267 as the result.

The following table represents the calculation of factors of 267 in pairs:

Factor Pair Pair Factorization
1 and 267 1 x 267 = 267
3 and 89 3 x 89 = 267

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 267. They are called negative pair factors.

Hence, the negative pairs of 267 would be ( -1 , -267 ) , ( -3 , -89 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 267 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, 3, 89, 267 are exact divisors of 267.
• Factors of 267 are 1, 3, 89, 267. Each factor divides 267 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -267 )?

Factors of -267 are -1, -3, -89, -267.

• What is the sum of all factors of 267?

The sum of all factors of 267 is 360.

• What is prime factorization of 267?

Prime factorization of 267 is 3 x 89.

• What are the pair factors of 267?

Pair factors of 267 are (1,267), (3,89).

• What are six multiples of 267?

First five multiples of 267 are 534, 801, 1068, 1335, 1602, 1869.

• Is 267 a whole number?

Yes 267 is a whole number.

• Which is the smallest prime factor of 267?

Smallest prime factor of 267 is 3.

• What are five multiples of 267?

First five multiples of 267 are 534, 801, 1068, 1335, 1602.

• Write all factors of 267?

Factors of 267 are 1, 3, 89, 267.

#### Examples of Factors

Joey wants to write all the prime factors of 267 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 267 are 3, 89.
So in exponential form it can be written as 3 x 89.

How many factors are there for 267?

Factors of 267 are 1, 3, 89, 267.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 267. Can you predict the answer?

3 factor(s) of 267 are 1, 3, 89.

Sammy is puzzled while calculating the prime factors of 267. Can you help him find them?

Factors of 267 are 1, 3, 89, 267.
Prime factors of 267 are 3, 89

What is prime factorization of 267?

Prime factorization of 267 is 3 x 89 = 3 x 89.

Ariel has been assigned the task to find the product of all the prime factors of 267. Can you help her?

Prime factors of 267 are 3, 89.
Hence, the product of prime factors of 267.

Can you help Rubel to find out the product of the even factors of 267?

Factors of 267 are 1, 3, 89, 267.
Even factors of 267 are 0.
Hence, product of even factors of 267 is; 0 = 0.