# Factors of 1323 in pair

Factors of 1323 in pair are (1, 1323) , (3, 441) , (7, 189) , (9, 147) , (21, 63) and (27, 49)

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

 1.   Steps to find factors of 1323 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 1323 in pair

Factor Pair Pair Factorization
1 and 1323 1 x 1323 = 1323
3 and 441 3 x 441 = 1323
7 and 189 7 x 189 = 1323
9 and 147 9 x 147 = 1323
21 and 63 21 x 63 = 1323
27 and 49 27 x 49 = 1323

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 1323. They are called negative pair factors.

Hence, the negative pairs of 1323 would be ( -1 , -1323 ) .

#### 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 1323 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 147 , 189 , 441 , 1323. So, factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49).

#### 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 1323 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, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323 are exact divisors of 1323.
• Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. Each factor divides 1323 without leaving a remainder.

#### Steps to find Factors of 1323

• Step 1. Find all the numbers that would divide 1323 without leaving any remainder. Starting with the number 1 upto 661 (half of 1323). The number 1 and the number itself are always factors of the given number.
1323 ÷ 1 : Remainder = 0
1323 ÷ 3 : Remainder = 0
1323 ÷ 7 : Remainder = 0
1323 ÷ 9 : Remainder = 0
1323 ÷ 21 : Remainder = 0
1323 ÷ 27 : Remainder = 0
1323 ÷ 49 : Remainder = 0
1323 ÷ 63 : Remainder = 0
1323 ÷ 147 : Remainder = 0
1323 ÷ 189 : Remainder = 0
1323 ÷ 441 : Remainder = 0
1323 ÷ 1323 : Remainder = 0

Hence, Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, and 1323

• Is 1323 a composite number?

Yes 1323 is a composite number.

• Is 1323 a perfect square?

No 1323 is not a perfect square.

• Write all odd factors of 1323?

The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
Odd factors of 1323 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 147 , 189 , 441 , 1323.

• What is the mean of all prime factors of 1323?

Factors of 1323 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 147 , 189 , 441 , 1323. Prime factors of 1323 are 3 , 3 , 3 , 7 , 7. Therefore mean of prime factors of 1323 is (3 + 3 + 3 + 7 + 7) / 5 = 4.60.

• 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 1323 blocks in order to form a rectangle in all possible ways? For arranging 1323 blocks in order to form a rectangle in all possible ways we need to find factors of 1323 in pair.

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. So, factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49).

Ariel has been asked to write all factor pairs of 1323 but she is finding it difficult. Can you help her find out?

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. So, factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49).

How many total number of factors of 1323 in pair are possible?

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. Hence, the factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49). Therefore, in total 6 pairs of factors are possible.

Sammy wants to write all the negative factors of 1323 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1323 are -1, -3, -7, -9, -21, -27, -49, -63, -147, -189, -441, -1323. Hence, factors of 1323 in pair are (-1,-1323), (-3,-441), (-7,-189), (-9,-147), (-21,-63), (-27,-49).

Help Deep in writing the positive factors of 1323 in pair and negative factor of 1323 in pair.

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. Positive factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49). Negative factors of 1323 in pair are (-1,-1323), (-3,-441), (-7,-189), (-9,-147), (-21,-63), (-27,-49).

Find the product of all factors of 1323.

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. So the product of all factors of 1323 would be 1 x 3 x 7 x 9 x 21 x 27 x 49 x 63 x 147 x 189 x 441 x 1323 = 5362398255800862000.

Find the product of all prime factors of 1323.

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. Prime factors are 3, 3, 3, 7, 7. So, the product of all prime factors of 1323 would be 3 x 3 x 3 x 7 x 7 = 1323.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1323.
- Writing all prime factors of 1323.
- Writing all the possible factors of 1323 in pair.
Help him in writing all these.

Positive factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
Prime factors of 1323 are 3, 3, 3, 7, 7.
Factors of 1323 in pair are (1,1323), (3,441), (7,189), (9,147), (21,63), (27,49).