# Factors of 323 in pair

Factors of 323 in pair are (1, 323) , (17, 19)

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

 1.   Steps to find factors of 323 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 323 in pair

Factor Pair Pair Factorization
1 and 323 1 x 323 = 323
17 and 19 17 x 19 = 323

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 323. They are called negative pair factors.

Hence, the negative pairs of 323 would be ( -1 , -323 ) .

#### 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 323 are 1 , 17 , 19 , 323. So, factors of 323 in pair are (1,323), (17,19).

#### 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 number is a factor of zero (0), since 323 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, 17, 19, 323 are exact divisors of 323.
• Factors of 323 are 1, 17, 19, 323. Each factor divides 323 without leaving a remainder.

#### Steps to find Factors of 323

• Step 1. Find all the numbers that would divide 323 without leaving any remainder. Starting with the number 1 upto 161 (half of 323). The number 1 and the number itself are always factors of the given number.
323 ÷ 1 : Remainder = 0
323 ÷ 17 : Remainder = 0
323 ÷ 19 : Remainder = 0
323 ÷ 323 : Remainder = 0

Hence, Factors of 323 are 1, 17, 19, and 323

• Is 323 a perfect square?

No 323 is not a perfect square.

• Write five multiples of 323.

Five multiples of 323 are 646, 969, 1292, 1615, 1938.

• Is there any even prime factor of 323?

No there is no even prime factor, i.e. 2, of 323.

• 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.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 323 blocks in order to form a rectangle in all possible ways? For arranging 323 blocks in order to form a rectangle in all possible ways we need to find factors of 323 in pair.

Factors of 323 are 1, 17, 19, 323. So, factors of 323 in pair are (1,323), (17,19).

Ariel has been asked to write all factor pairs of 323 but she is finding it difficult. Can you help her find out?

Factors of 323 are 1, 17, 19, 323. So, factors of 323 in pair are (1,323), (17,19).

How many total number of factors of 323 in pair are possible?

Factors of 323 are 1, 17, 19, 323. Hence, the factors of 323 in pair are (1,323), (17,19). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 323 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 323 are -1, -17, -19, -323. Hence, factors of 323 in pair are (-1,-323), (-17,-19).

Help Deep in writing the positive factors of 323 in pair and negative factor of 323 in pair.

Factors of 323 are 1, 17, 19, 323. Positive factors of 323 in pair are (1,323), (17,19). Negative factors of 323 in pair are (-1,-323), (-17,-19).

Find the product of all factors of 323.

Factors of 323 are 1, 17, 19, 323. So the product of all factors of 323 would be 1 x 17 x 19 x 323 = 104329.

Find the product of all prime factors of 323.

Factors of 323 are 1, 17, 19, 323. Prime factors are 17, 19. So, the product of all prime factors of 323 would be 17 x 19 = 323.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 323.
- Writing all prime factors of 323.
- Writing all the possible factors of 323 in pair.
Help him in writing all these.

Positive factors of 323 are 1, 17, 19, 323.
Prime factors of 323 are 17, 19.
Factors of 323 in pair are (1,323), (17,19).