# Factors of 316 in pair

Factors of 316 in pair are (1, 316) , (2, 158) and (4, 79)

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

 1.   Steps to find factors of 316 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 316 in pair

Factor Pair Pair Factorization
1 and 316 1 x 316 = 316
2 and 158 2 x 158 = 316
4 and 79 4 x 79 = 316

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 316. They are called negative pair factors.

Hence, the negative pairs of 316 would be ( -1 , -316 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 316 are 1 , 2 , 4 , 79 , 158 , 316. So, factors of 316 in pair are (1,316), (2,158), (4,79).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 316 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 316.
• Every number is a factor of zero (0), since 316 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, 79, 158, 316 are exact divisors of 316.
• Factors of 316 are 1, 2, 4, 79, 158, 316. Each factor divides 316 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 79, 158, 316 are all less than or equal to 316.

#### Steps to find Factors of 316

• Step 1. Find all the numbers that would divide 316 without leaving any remainder. Starting with the number 1 upto 158 (half of 316). The number 1 and the number itself are always factors of the given number.
316 ÷ 1 : Remainder = 0
316 ÷ 2 : Remainder = 0
316 ÷ 4 : Remainder = 0
316 ÷ 79 : Remainder = 0
316 ÷ 158 : Remainder = 0
316 ÷ 316 : Remainder = 0

Hence, Factors of 316 are 1, 2, 4, 79, 158, and 316

• Is 316 a composite number?

Yes 316 is a composite number.

• Is 316 a prime number?

No 316 is not a prime number.

• Write five multiples of 316.

Five multiples of 316 are 632, 948, 1264, 1580, 1896.

• Write all odd factors of 316?

The factors of 316 are 1, 2, 4, 79, 158, 316.
Odd factors of 316 are 1 , 79.

• What is the mean of all prime factors of 316?

Factors of 316 are 1 , 2 , 4 , 79 , 158 , 316. Prime factors of 316 are 2 , 2 , 79. Therefore mean of prime factors of 316 is (2 + 2 + 79) / 3 = 27.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 316.
- Writing all prime factors of 316.
- Writing all the possible factors of 316 in pair.
Help him in writing all these.

Positive factors of 316 are 1, 2, 4, 79, 158, 316.
Prime factors of 316 are 2, 2, 79.
Factors of 316 in pair are (1,316), (2,158), (4,79).

What are the pair factors of 316?

Factors of 316 are 1, 2, 4, 79, 158, 316. Hence, the factors of 316 in pair are (1,316), (2,158), (4,79).

Can you help Sammy list the factors of 316 and also find the factor pairs?

Factors of 316 are 1, 2, 4, 79, 158, 316.
Factors of 316 in pair are (1,316), (2,158), (4,79).

The area of a rectangle is 316 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 316 in pair. So, the possible combinations (1,316), (2,158), (4,79).

Help Diji in finding factors of 316 by Prime Factorization method and then sorting factors of 316 in pairs.

Prime factorization of 316 is 2 x 2 x 79. Factors of 316 in pair can be written as (1,316), (2,158), (4,79).

Write the smallest prime factor of 316.

Smallest prime factor of 316 is 2.

Write the largest prime factor of 316.

Largest prime factor of 316 is 79.

Diji wants to write all the negative factors of 316. Can you help Diji in doing the same?

Negative factors of 316 are -1, -2, -4, -79, -158, -316.