# Factors of 348 in pair

Factors of 348 in pair are (1, 348) , (2, 174) , (3, 116) , (4, 87) , (6, 58) and (12, 29)

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

 1.   Steps to find factors of 348 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 348 in pair

Factor Pair Pair Factorization
1 and 348 1 x 348 = 348
2 and 174 2 x 174 = 348
3 and 116 3 x 116 = 348
4 and 87 4 x 87 = 348
6 and 58 6 x 58 = 348
12 and 29 12 x 29 = 348

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 348. They are called negative pair factors.

Hence, the negative pairs of 348 would be ( -1 , -348 ) .

#### 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 348 are 1 , 2 , 3 , 4 , 6 , 12 , 29 , 58 , 87 , 116 , 174 , 348. So, factors of 348 in pair are (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

#### 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

• Each number is a factor of itself. Eg. 348 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 348.
• Every number is a factor of zero (0), since 348 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, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 are exact divisors of 348.
• Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. Each factor divides 348 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 are all less than or equal to 348.

#### Steps to find Factors of 348

• Step 1. Find all the numbers that would divide 348 without leaving any remainder. Starting with the number 1 upto 174 (half of 348). The number 1 and the number itself are always factors of the given number.
348 ÷ 1 : Remainder = 0
348 ÷ 2 : Remainder = 0
348 ÷ 3 : Remainder = 0
348 ÷ 4 : Remainder = 0
348 ÷ 6 : Remainder = 0
348 ÷ 12 : Remainder = 0
348 ÷ 29 : Remainder = 0
348 ÷ 58 : Remainder = 0
348 ÷ 87 : Remainder = 0
348 ÷ 116 : Remainder = 0
348 ÷ 174 : Remainder = 0
348 ÷ 348 : Remainder = 0

Hence, Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348

• Is 348 a composite number?

Yes 348 is a composite number.

• Is 348 a prime number?

No 348 is not a prime number.

• What is the mean of factors of 348?

Factors of 348 are 1 , 2 , 3 , 4 , 6 , 12 , 29 , 58 , 87 , 116 , 174 , 348. therefore mean of factors of 348 is (1 + 2 + 3 + 4 + 6 + 12 + 29 + 58 + 87 + 116 + 174 + 348) / 12 = 70.00.

• 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

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 348.
- Writing all prime factors of 348.
- Writing all the possible factors of 348 in pair.
Help him in writing all these.

Positive factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
Prime factors of 348 are 2, 2, 3, 29.
Factors of 348 in pair are (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

What are the pair factors of 348?

Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. Hence, the factors of 348 in pair are (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

Can you help Sammy list the factors of 348 and also find the factor pairs?

Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
Factors of 348 in pair are (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

The area of a rectangle is 348 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 348 in pair. So, the possible combinations (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

Help Diji in finding factors of 348 by Prime Factorization method and then sorting factors of 348 in pairs.

Prime factorization of 348 is 2 x 2 x 3 x 29. Factors of 348 in pair can be written as (1,348), (2,174), (3,116), (4,87), (6,58), (12,29).

Write the smallest prime factor of 348.

Smallest prime factor of 348 is 2.

Write the largest prime factor of 348.

Largest prime factor of 348 is 29.

Diji wants to write all the negative factors of 348. Can you help Diji in doing the same?

Negative factors of 348 are -1, -2, -3, -4, -6, -12, -29, -58, -87, -116, -174, -348.