# Factors of 364 in pair

Factors of 364 in pair are (1, 364) , (2, 182) , (4, 91) , (7, 52) , (13, 28) and (14, 26)

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

 1.   Steps to find factors of 364 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 364 in pair

Factor Pair Pair Factorization
1 and 364 1 x 364 = 364
2 and 182 2 x 182 = 364
4 and 91 4 x 91 = 364
7 and 52 7 x 52 = 364
13 and 28 13 x 28 = 364
14 and 26 14 x 26 = 364

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 364. They are called negative pair factors.

Hence, the negative pairs of 364 would be ( -1 , -364 ) .

#### 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 364 are 1 , 2 , 4 , 7 , 13 , 14 , 26 , 28 , 52 , 91 , 182 , 364. So, factors of 364 in pair are (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

#### 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

• Each number is a factor of itself. Eg. 364 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 364.
• Every number is a factor of zero (0), since 364 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, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 are exact divisors of 364.
• Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. Each factor divides 364 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 are all less than or equal to 364.

#### Steps to find Factors of 364

• Step 1. Find all the numbers that would divide 364 without leaving any remainder. Starting with the number 1 upto 182 (half of 364). The number 1 and the number itself are always factors of the given number.
364 ÷ 1 : Remainder = 0
364 ÷ 2 : Remainder = 0
364 ÷ 4 : Remainder = 0
364 ÷ 7 : Remainder = 0
364 ÷ 13 : Remainder = 0
364 ÷ 14 : Remainder = 0
364 ÷ 26 : Remainder = 0
364 ÷ 28 : Remainder = 0
364 ÷ 52 : Remainder = 0
364 ÷ 91 : Remainder = 0
364 ÷ 182 : Remainder = 0
364 ÷ 364 : Remainder = 0

Hence, Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, and 364

• Is 364 a composite number?

Yes 364 is a composite number.

• Is 364 a prime number?

No 364 is not a prime number.

• Write five multiples of 364.

Five multiples of 364 are 728, 1092, 1456, 1820, 2184.

• Write all odd factors of 364?

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.
Odd factors of 364 are 1 , 7 , 13 , 91.

• What is the mean of all prime factors of 364?

Factors of 364 are 1 , 2 , 4 , 7 , 13 , 14 , 26 , 28 , 52 , 91 , 182 , 364. Prime factors of 364 are 2 , 2 , 7 , 13. Therefore mean of prime factors of 364 is (2 + 2 + 7 + 13) / 4 = 6.00.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 364.
- Writing all prime factors of 364.
- Writing all the possible factors of 364 in pair.
Help him in writing all these.

Positive factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.
Prime factors of 364 are 2, 2, 7, 13.
Factors of 364 in pair are (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

What are the pair factors of 364?

Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. Hence, the factors of 364 in pair are (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

Can you help Sammy list the factors of 364 and also find the factor pairs?

Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.
Factors of 364 in pair are (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

The area of a rectangle is 364 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 364 in pair. So, the possible combinations (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

Help Diji in finding factors of 364 by Prime Factorization method and then sorting factors of 364 in pairs.

Prime factorization of 364 is 2 x 2 x 7 x 13. Factors of 364 in pair can be written as (1,364), (2,182), (4,91), (7,52), (13,28), (14,26).

Write the smallest prime factor of 364.

Smallest prime factor of 364 is 2.

Write the largest prime factor of 364.

Largest prime factor of 364 is 13.

Diji wants to write all the negative factors of 364. Can you help Diji in doing the same?

Negative factors of 364 are -1, -2, -4, -7, -13, -14, -26, -28, -52, -91, -182, -364.