# Factors of 69

Factors of 69 are 1, 3, 23, and 69

#### How to find factors of a number

 1.   Find factors of 69 using Division Method 2.   Find factors of 69 using Prime Factorization 3.   Find factors of 69 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 69

• Divide 69 by 1: 69 ÷ 1 : Remainder = 0
• Divide 69 by 3: 69 ÷ 3 : Remainder = 0
• Divide 69 by 23: 69 ÷ 23 : Remainder = 0
• Divide 69 by 69: 69 ÷ 69 : Remainder = 0

Hence, Factors of 69 are 1, 3, 23, and 69

#### 2. Steps to find factors of 69 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 69 using the division method, follow these steps:

• Step 1. Start dividing 69 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 69, which is 3. Divide 69 by 3 to obtain the quotient (23).
69 ÷ 3 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 69 is, 69 = 3 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 69 as shown below:

So, the prime factorization of 69 is, 69 = 3 x 23.

#### 3. Find factors of 69 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 69 would be the two numbers which, when multiplied, give 69 as the result.

The following table represents the calculation of factors of 69 in pairs:

Factor Pair Pair Factorization
1 and 69 1 x 69 = 69
3 and 23 3 x 23 = 69

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 69. They are called negative pair factors.

Hence, the negative pairs of 69 would be ( -1 , -69 ) , ( -3 , -23 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 23, 69 are exact divisors of 69.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 69 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 69.

#### Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -69 )?

Factors of -69 are -1, -3, -23, -69.

• What is the sum of all factors of 69?

The sum of all factors of 69 is 96.

• What is prime factorization of 69?

Prime factorization of 69 is 3 x 23.

• What are the pair factors of 69?

Pair factors of 69 are (1,69), (3,23).

• What are six multiples of 69?

First five multiples of 69 are 138, 207, 276, 345, 414, 483.

• Is 69 a whole number?

Yes 69 is a whole number.

• Which is the smallest prime factor of 69?

Smallest prime factor of 69 is 3.

• What are five multiples of 69?

First five multiples of 69 are 138, 207, 276, 345, 414.

• Write all factors of 69?

Factors of 69 are 1, 3, 23, 69.

#### Examples of Factors

Joey wants to write all the prime factors of 69 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 69 are 3, 23.
So in exponential form it can be written as 3 x 23.

How many factors are there for 69?

Factors of 69 are 1, 3, 23, 69.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 69. Can you predict the answer?

3 factor(s) of 69 are 1, 3, 23.

Sammy is puzzled while calculating the prime factors of 69. Can you help him find them?

Factors of 69 are 1, 3, 23, 69.
Prime factors of 69 are 3, 23

What is prime factorization of 69?

Prime factorization of 69 is 3 x 23 = 3 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 69. Can you help her?

Prime factors of 69 are 3, 23.
Hence, the product of prime factors of 69.

Can you help Rubel to find out the product of the even factors of 69?

Factors of 69 are 1, 3, 23, 69.
Even factors of 69 are 0.
Hence, product of even factors of 69 is; 0 = 0.

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