# Factors of 69 in pair

Factors of 69 in pair are (1, 69) , (3, 23)

#### How to find factors of a number in pair

 1.   Steps to find factors of 69 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 69 in pair

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 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 69 are 1 , 3 , 23 , 69. So, factors of 69 in pair are (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.

#### Steps to find Factors of 69

• Step 1. Find all the numbers that would divide 69 without leaving any remainder. Starting with the number 1 upto 34 (half of 69). The number 1 and the number itself are always factors of the given number.
69 ÷ 1 : Remainder = 0
69 ÷ 3 : Remainder = 0
69 ÷ 23 : Remainder = 0
69 ÷ 69 : Remainder = 0

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

• Is 69 a composite number?

Yes 69 is a composite number.

• Is 69 a perfect square?

No 69 is not a perfect square.

• Write all odd factors of 69?

The factors of 69 are 1, 3, 23, 69.
Odd factors of 69 are 1 , 3 , 23 , 69.

• What is the mean of all prime factors of 69?

Factors of 69 are 1 , 3 , 23 , 69. Prime factors of 69 are 3 , 23. Therefore mean of prime factors of 69 is (3 + 23) / 2 = 13.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

#### Examples of Factors

Can you help Rubel in arranging 69 blocks in order to form a rectangle in all possible ways? For arranging 69 blocks in order to form a rectangle in all possible ways we need to find factors of 69 in pair.

Factors of 69 are 1, 3, 23, 69. So, factors of 69 in pair are (1,69), (3,23).

Ariel has been asked to write all factor pairs of 69 but she is finding it difficult. Can you help her find out?

Factors of 69 are 1, 3, 23, 69. So, factors of 69 in pair are (1,69), (3,23).

What are the pair factors of 69?

Factors of 69 are 1, 3, 23, 69. Hence, the factors of 69 in pair are (1,69), (3,23).

Can you help Sammy list the factors of 69 and also find the factor pairs?

Factors of 69 are 1, 3, 23, 69.
Factors of 69 in pair are (1,69), (3,23).

Help Diji in finding factors of 69 by Prime Factorization method and then sorting factors of 69 in pairs.

Prime factorization of 69 is 3 x 23. Factors of 69 in pair can be written as (1,69), (3,23).

Write the smallest prime factor of 69.

Smallest prime factor of 69 is 3.

Write the largest prime factor of 69.

Largest prime factor of 69 is 23.

Diji wants to write all the negative factors of 69. Can you help Diji in doing the same?

Negative factors of 69 are -1, -3, -23, -69.