Factors of 468 in pair are (1, 468) , (2, 234) , (3, 156) , (4, 117) , (6, 78) , (9, 52) , (12, 39) , (13, 36) and (18, 26)

How to find factors of a number in pair

Steps to find factors of 468 in pair

Example: Find factors of 468 in pair

Factor Pair Pair Factorization
1 and 468 1 x 468 = 468
2 and 234 2 x 234 = 468
3 and 156 3 x 156 = 468
4 and 117 4 x 117 = 468
6 and 78 6 x 78 = 468
9 and 52 9 x 52 = 468
12 and 39 12 x 39 = 468
13 and 36 13 x 36 = 468
18 and 26 18 x 26 = 468

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 468. They are called negative pair factors.

Hence, the negative pairs of 468 would be ( -1 , -468 ) .

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 468 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 13 , 18 , 26 , 36 , 39 , 52 , 78 , 117 , 156 , 234 , 468. So, factors of 468 in pair are (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

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. 468 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 468.
  • Every number is a factor of zero (0), since 468 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, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468 are exact divisors of 468.
  • Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. Each factor divides 468 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, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468 are all less than or equal to 468.

Steps to find Factors of 468

  • Step 1. Find all the numbers that would divide 468 without leaving any remainder. Starting with the number 1 upto 234 (half of 468). The number 1 and the number itself are always factors of the given number.
    468 ÷ 1 : Remainder = 0
    468 ÷ 2 : Remainder = 0
    468 ÷ 3 : Remainder = 0
    468 ÷ 4 : Remainder = 0
    468 ÷ 6 : Remainder = 0
    468 ÷ 9 : Remainder = 0
    468 ÷ 12 : Remainder = 0
    468 ÷ 13 : Remainder = 0
    468 ÷ 18 : Remainder = 0
    468 ÷ 26 : Remainder = 0
    468 ÷ 36 : Remainder = 0
    468 ÷ 39 : Remainder = 0
    468 ÷ 52 : Remainder = 0
    468 ÷ 78 : Remainder = 0
    468 ÷ 117 : Remainder = 0
    468 ÷ 156 : Remainder = 0
    468 ÷ 234 : Remainder = 0
    468 ÷ 468 : Remainder = 0

Hence, Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, and 468

Frequently Asked Questions

  • Is 468 a composite number?

    Yes 468 is a composite number.

  • Is 468 a prime number?

    No 468 is not a prime number.

  • What is the mean of factors of 468?

    Factors of 468 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 13 , 18 , 26 , 36 , 39 , 52 , 78 , 117 , 156 , 234 , 468. therefore mean of factors of 468 is (1 + 2 + 3 + 4 + 6 + 9 + 12 + 13 + 18 + 26 + 36 + 39 + 52 + 78 + 117 + 156 + 234 + 468) / 18 = 70.78.

  • 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 468.
- Writing all prime factors of 468.
- Writing all the possible factors of 468 in pair.
Help him in writing all these.

Positive factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468.
Prime factors of 468 are 2, 2, 3, 3, 13.
Factors of 468 in pair are (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

What are the pair factors of 468?

Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. Hence, the factors of 468 in pair are (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

Can you help Sammy list the factors of 468 and also find the factor pairs?

Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468.
Factors of 468 in pair are (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

The area of a rectangle is 468 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 468 in pair. So, the possible combinations (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

Help Diji in finding factors of 468 by Prime Factorization method and then sorting factors of 468 in pairs.

Prime factorization of 468 is 2 x 2 x 3 x 3 x 13. Factors of 468 in pair can be written as (1,468), (2,234), (3,156), (4,117), (6,78), (9,52), (12,39), (13,36), (18,26).

Write the smallest prime factor of 468.

Smallest prime factor of 468 is 2.

Write the largest prime factor of 468.

Largest prime factor of 468 is 13.

Diji wants to write all the negative factors of 468. Can you help Diji in doing the same?

Negative factors of 468 are -1, -2, -3, -4, -6, -9, -12, -13, -18, -26, -36, -39, -52, -78, -117, -156, -234, -468.