# Factors of 612 in pair

Factors of 612 in pair are (1, 612) , (2, 306) , (3, 204) , (4, 153) , (6, 102) , (9, 68) , (12, 51) , (17, 36) and (18, 34)

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

 1.   Steps to find factors of 612 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 612 in pair

Factor Pair Pair Factorization
1 and 612 1 x 612 = 612
2 and 306 2 x 306 = 612
3 and 204 3 x 204 = 612
4 and 153 4 x 153 = 612
6 and 102 6 x 102 = 612
9 and 68 9 x 68 = 612
12 and 51 12 x 51 = 612
17 and 36 17 x 36 = 612
18 and 34 18 x 34 = 612

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 612. They are called negative pair factors.

Hence, the negative pairs of 612 would be ( -1 , -612 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 612 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 34 , 36 , 51 , 68 , 102 , 153 , 204 , 306 , 612. So, factors of 612 in pair are (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 612 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 612.
• Every number is a factor of zero (0), since 612 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, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612 are exact divisors of 612.
• Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. Each factor divides 612 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612 are all less than or equal to 612.

#### Steps to find Factors of 612

• Step 1. Find all the numbers that would divide 612 without leaving any remainder. Starting with the number 1 upto 306 (half of 612). The number 1 and the number itself are always factors of the given number.
612 ÷ 1 : Remainder = 0
612 ÷ 2 : Remainder = 0
612 ÷ 3 : Remainder = 0
612 ÷ 4 : Remainder = 0
612 ÷ 6 : Remainder = 0
612 ÷ 9 : Remainder = 0
612 ÷ 12 : Remainder = 0
612 ÷ 17 : Remainder = 0
612 ÷ 18 : Remainder = 0
612 ÷ 34 : Remainder = 0
612 ÷ 36 : Remainder = 0
612 ÷ 51 : Remainder = 0
612 ÷ 68 : Remainder = 0
612 ÷ 102 : Remainder = 0
612 ÷ 153 : Remainder = 0
612 ÷ 204 : Remainder = 0
612 ÷ 306 : Remainder = 0
612 ÷ 612 : Remainder = 0

Hence, Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, and 612

• Is 612 a composite number?

Yes 612 is a composite number.

• Is 612 a prime number?

No 612 is not a prime number.

• What is the mean of factors of 612?

Factors of 612 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 34 , 36 , 51 , 68 , 102 , 153 , 204 , 306 , 612. therefore mean of factors of 612 is (1 + 2 + 3 + 4 + 6 + 9 + 12 + 17 + 18 + 34 + 36 + 51 + 68 + 102 + 153 + 204 + 306 + 612) / 18 = 91.00.

• 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 612.
- Writing all prime factors of 612.
- Writing all the possible factors of 612 in pair.
Help him in writing all these.

Positive factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612.
Prime factors of 612 are 2, 2, 3, 3, 17.
Factors of 612 in pair are (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

What are the pair factors of 612?

Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. Hence, the factors of 612 in pair are (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

Can you help Sammy list the factors of 612 and also find the factor pairs?

Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612.
Factors of 612 in pair are (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

The area of a rectangle is 612 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 612 in pair. So, the possible combinations (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

Help Diji in finding factors of 612 by Prime Factorization method and then sorting factors of 612 in pairs.

Prime factorization of 612 is 2 x 2 x 3 x 3 x 17. Factors of 612 in pair can be written as (1,612), (2,306), (3,204), (4,153), (6,102), (9,68), (12,51), (17,36), (18,34).

Write the smallest prime factor of 612.

Smallest prime factor of 612 is 2.

Write the largest prime factor of 612.

Largest prime factor of 612 is 17.

Diji wants to write all the negative factors of 612. Can you help Diji in doing the same?

Negative factors of 612 are -1, -2, -3, -4, -6, -9, -12, -17, -18, -34, -36, -51, -68, -102, -153, -204, -306, -612.