# Factors of 460 in pair

Factors of 460 in pair are (1, 460) , (2, 230) , (4, 115) , (5, 92) , (10, 46) and (20, 23)

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

 1.   Steps to find factors of 460 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 460 in pair

Factor Pair Pair Factorization
1 and 460 1 x 460 = 460
2 and 230 2 x 230 = 460
4 and 115 4 x 115 = 460
5 and 92 5 x 92 = 460
10 and 46 10 x 46 = 460
20 and 23 20 x 23 = 460

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 460. They are called negative pair factors.

Hence, the negative pairs of 460 would be ( -1 , -460 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 460 are 1 , 2 , 4 , 5 , 10 , 20 , 23 , 46 , 92 , 115 , 230 , 460. So, factors of 460 in pair are (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 460 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 460.
• Every number is a factor of zero (0), since 460 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, 5, 10, 20, 23, 46, 92, 115, 230, 460 are exact divisors of 460.
• Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. Each factor divides 460 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460 are all less than or equal to 460.

#### Steps to find Factors of 460

• Step 1. Find all the numbers that would divide 460 without leaving any remainder. Starting with the number 1 upto 230 (half of 460). The number 1 and the number itself are always factors of the given number.
460 ÷ 1 : Remainder = 0
460 ÷ 2 : Remainder = 0
460 ÷ 4 : Remainder = 0
460 ÷ 5 : Remainder = 0
460 ÷ 10 : Remainder = 0
460 ÷ 20 : Remainder = 0
460 ÷ 23 : Remainder = 0
460 ÷ 46 : Remainder = 0
460 ÷ 92 : Remainder = 0
460 ÷ 115 : Remainder = 0
460 ÷ 230 : Remainder = 0
460 ÷ 460 : Remainder = 0

Hence, Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, and 460

• Is 460 a composite number?

Yes 460 is a composite number.

• Is 460 a prime number?

No 460 is not a prime number.

• Write five multiples of 460.

Five multiples of 460 are 920, 1380, 1840, 2300, 2760.

• Write all odd factors of 460?

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460.
Odd factors of 460 are 1 , 5 , 23 , 115.

• What is the mean of all prime factors of 460?

Factors of 460 are 1 , 2 , 4 , 5 , 10 , 20 , 23 , 46 , 92 , 115 , 230 , 460. Prime factors of 460 are 2 , 2 , 5 , 23. Therefore mean of prime factors of 460 is (2 + 2 + 5 + 23) / 4 = 8.00.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 460.
- Writing all prime factors of 460.
- Writing all the possible factors of 460 in pair.
Help him in writing all these.

Positive factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460.
Prime factors of 460 are 2, 2, 5, 23.
Factors of 460 in pair are (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

What are the pair factors of 460?

Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. Hence, the factors of 460 in pair are (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

Can you help Sammy list the factors of 460 and also find the factor pairs?

Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460.
Factors of 460 in pair are (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

The area of a rectangle is 460 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 460 in pair. So, the possible combinations (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

Help Diji in finding factors of 460 by Prime Factorization method and then sorting factors of 460 in pairs.

Prime factorization of 460 is 2 x 2 x 5 x 23. Factors of 460 in pair can be written as (1,460), (2,230), (4,115), (5,92), (10,46), (20,23).

Write the smallest prime factor of 460.

Smallest prime factor of 460 is 2.

Write the largest prime factor of 460.

Largest prime factor of 460 is 23.

Diji wants to write all the negative factors of 460. Can you help Diji in doing the same?

Negative factors of 460 are -1, -2, -4, -5, -10, -20, -23, -46, -92, -115, -230, -460.