# Factors of 363 in pair

Factors of 363 in pair are (1, 363) , (3, 121) and (11, 33)

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

 1.   Steps to find factors of 363 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 363 in pair

Factor Pair Pair Factorization
1 and 363 1 x 363 = 363
3 and 121 3 x 121 = 363
11 and 33 11 x 33 = 363

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 363. They are called negative pair factors.

Hence, the negative pairs of 363 would be ( -1 , -363 ) .

#### 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 363 are 1 , 3 , 11 , 33 , 121 , 363. So, factors of 363 in pair are (1,363), (3,121), (11,33).

#### 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 363 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, 11, 33, 121, 363 are exact divisors of 363.
• Factors of 363 are 1, 3, 11, 33, 121, 363. Each factor divides 363 without leaving a remainder.

#### Steps to find Factors of 363

• Step 1. Find all the numbers that would divide 363 without leaving any remainder. Starting with the number 1 upto 181 (half of 363). The number 1 and the number itself are always factors of the given number.
363 ÷ 1 : Remainder = 0
363 ÷ 3 : Remainder = 0
363 ÷ 11 : Remainder = 0
363 ÷ 33 : Remainder = 0
363 ÷ 121 : Remainder = 0
363 ÷ 363 : Remainder = 0

Hence, Factors of 363 are 1, 3, 11, 33, 121, and 363

#### Frequently Asked Questions

• Is 363 a composite number?

Yes 363 is a composite number.

• Is 363 a perfect square?

No 363 is not a perfect square.

• Write all odd factors of 363?

The factors of 363 are 1, 3, 11, 33, 121, 363.
Odd factors of 363 are 1 , 3 , 11 , 33 , 121 , 363.

• What is the mean of all prime factors of 363?

Factors of 363 are 1 , 3 , 11 , 33 , 121 , 363. Prime factors of 363 are 3 , 11 , 11. Therefore mean of prime factors of 363 is (3 + 11 + 11) / 3 = 8.33.

• 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 363 blocks in order to form a rectangle in all possible ways? For arranging 363 blocks in order to form a rectangle in all possible ways we need to find factors of 363 in pair.

Factors of 363 are 1, 3, 11, 33, 121, 363. So, factors of 363 in pair are (1,363), (3,121), (11,33).

Ariel has been asked to write all factor pairs of 363 but she is finding it difficult. Can you help her find out?

Factors of 363 are 1, 3, 11, 33, 121, 363. So, factors of 363 in pair are (1,363), (3,121), (11,33).

How many total number of factors of 363 in pair are possible?

Factors of 363 are 1, 3, 11, 33, 121, 363. Hence, the factors of 363 in pair are (1,363), (3,121), (11,33). Therefore, in total 3 pairs of factors are possible.

Sammy wants to write all the negative factors of 363 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 363 are -1, -3, -11, -33, -121, -363. Hence, factors of 363 in pair are (-1,-363), (-3,-121), (-11,-33).

Help Deep in writing the positive factors of 363 in pair and negative factor of 363 in pair.

Factors of 363 are 1, 3, 11, 33, 121, 363. Positive factors of 363 in pair are (1,363), (3,121), (11,33). Negative factors of 363 in pair are (-1,-363), (-3,-121), (-11,-33).

Find the product of all factors of 363.

Factors of 363 are 1, 3, 11, 33, 121, 363. So the product of all factors of 363 would be 1 x 3 x 11 x 33 x 121 x 363 = 47832147.

Find the product of all prime factors of 363.

Factors of 363 are 1, 3, 11, 33, 121, 363. Prime factors are 3, 11, 11. So, the product of all prime factors of 363 would be 3 x 11 x 11 = 363.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 363.
- Writing all prime factors of 363.
- Writing all the possible factors of 363 in pair.
Help him in writing all these.

Positive factors of 363 are 1, 3, 11, 33, 121, 363.
Prime factors of 363 are 3, 11, 11.
Factors of 363 in pair are (1,363), (3,121), (11,33).

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