# Factors of 153 in pair

Factors of 153 in pair are (1, 153) , (3, 51) and (9, 17)

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

 1.   Steps to find factors of 153 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 153 in pair

Factor Pair Pair Factorization
1 and 153 1 x 153 = 153
3 and 51 3 x 51 = 153
9 and 17 9 x 17 = 153

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 153. They are called negative pair factors.

Hence, the negative pairs of 153 would be ( -1 , -153 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 153 are 1 , 3 , 9 , 17 , 51 , 153. So, factors of 153 in pair are (1,153), (3,51), (9,17).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 17, 51, 153 are exact divisors of 153.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 153 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 153.

#### Steps to find Factors of 153

• Step 1. Find all the numbers that would divide 153 without leaving any remainder. Starting with the number 1 upto 76 (half of 153). The number 1 and the number itself are always factors of the given number.
153 ÷ 1 : Remainder = 0
153 ÷ 3 : Remainder = 0
153 ÷ 9 : Remainder = 0
153 ÷ 17 : Remainder = 0
153 ÷ 51 : Remainder = 0
153 ÷ 153 : Remainder = 0

Hence, Factors of 153 are 1, 3, 9, 17, 51, and 153

• Is 153 a composite number?

Yes 153 is a composite number.

• Is 153 a perfect square?

No 153 is not a perfect square.

• Write all odd factors of 153?

The factors of 153 are 1, 3, 9, 17, 51, 153.
Odd factors of 153 are 1 , 3 , 9 , 17 , 51 , 153.

• What is the mean of all prime factors of 153?

Factors of 153 are 1 , 3 , 9 , 17 , 51 , 153. Prime factors of 153 are 3 , 3 , 17. Therefore mean of prime factors of 153 is (3 + 3 + 17) / 3 = 7.67.

• 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 153 blocks in order to form a rectangle in all possible ways? For arranging 153 blocks in order to form a rectangle in all possible ways we need to find factors of 153 in pair.

Factors of 153 are 1, 3, 9, 17, 51, 153. So, factors of 153 in pair are (1,153), (3,51), (9,17).

How many total number of factors of 153 in pair are possible?

Factors of 153 are 1, 3, 9, 17, 51, 153. Hence, the factors of 153 in pair are (1,153), (3,51), (9,17). Therefore, in total 3 pairs of factors are possible.

Sammy wants to write all the negative factors of 153 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 153 are -1, -3, -9, -17, -51, -153. Hence, factors of 153 in pair are (-1,-153), (-3,-51), (-9,-17).

Find the product of all prime factors of 153.

Factors of 153 are 1, 3, 9, 17, 51, 153. Prime factors are 3, 3, 17. So, the product of all prime factors of 153 would be 3 x 3 x 17 = 153.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 153.
- Writing all prime factors of 153.
- Writing all the possible factors of 153 in pair.
Help him in writing all these.

Positive factors of 153 are 1, 3, 9, 17, 51, 153.
Prime factors of 153 are 3, 3, 17.
Factors of 153 in pair are (1,153), (3,51), (9,17).

Can you help Sammy list the factors of 153 and also find the factor pairs?

Factors of 153 are 1, 3, 9, 17, 51, 153.
Factors of 153 in pair are (1,153), (3,51), (9,17).

Help Diji in finding factors of 153 by Prime Factorization method and then sorting factors of 153 in pairs.

Prime factorization of 153 is 3 x 3 x 17. Factors of 153 in pair can be written as (1,153), (3,51), (9,17).

Write the smallest prime factor of 153.

Smallest prime factor of 153 is 3.