# Factors of 124 in pair

Factors of 124 in pair are (1, 124) , (2, 62) and (4, 31)

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

 1.   Steps to find factors of 124 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 124 in pair

Factor Pair Pair Factorization
1 and 124 1 x 124 = 124
2 and 62 2 x 62 = 124
4 and 31 4 x 31 = 124

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 124. They are called negative pair factors.

Hence, the negative pairs of 124 would be ( -1 , -124 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 124 are 1 , 2 , 4 , 31 , 62 , 124. So, factors of 124 in pair are (1,124), (2,62), (4,31).

#### How can we define factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 124 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 124.
• Every number is a factor of zero (0), since 124 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, 31, 62, 124 are exact divisors of 124.
• Factors of 124 are 1, 2, 4, 31, 62, 124. Each factor divides 124 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 31, 62, 124 are all less than or equal to 124.

#### Steps to find Factors of 124

• Step 1. Find all the numbers that would divide 124 without leaving any remainder. Starting with the number 1 upto 62 (half of 124). The number 1 and the number itself are always factors of the given number.
124 ÷ 1 : Remainder = 0
124 ÷ 2 : Remainder = 0
124 ÷ 4 : Remainder = 0
124 ÷ 31 : Remainder = 0
124 ÷ 62 : Remainder = 0
124 ÷ 124 : Remainder = 0

Hence, Factors of 124 are 1, 2, 4, 31, 62, and 124

• Is 124 a composite number?

Yes 124 is a composite number.

• Is 124 a prime number?

No 124 is not a prime number.

• Write five multiples of 124.

Five multiples of 124 are 248, 372, 496, 620, 744.

• Write all odd factors of 124?

The factors of 124 are 1, 2, 4, 31, 62, 124.
Odd factors of 124 are 1 , 31.

• What is the mean of all prime factors of 124?

Factors of 124 are 1 , 2 , 4 , 31 , 62 , 124. Prime factors of 124 are 2 , 2 , 31. Therefore mean of prime factors of 124 is (2 + 2 + 31) / 3 = 11.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 124.
- Writing all prime factors of 124.
- Writing all the possible factors of 124 in pair.
Help him in writing all these.

Positive factors of 124 are 1, 2, 4, 31, 62, 124.
Prime factors of 124 are 2, 2, 31.
Factors of 124 in pair are (1,124), (2,62), (4,31).

What are the pair factors of 124?

Factors of 124 are 1, 2, 4, 31, 62, 124. Hence, the factors of 124 in pair are (1,124), (2,62), (4,31).

Can you help Sammy list the factors of 124 and also find the factor pairs?

Factors of 124 are 1, 2, 4, 31, 62, 124.
Factors of 124 in pair are (1,124), (2,62), (4,31).

The area of a rectangle is 124 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 124 in pair. So, the possible combinations (1,124), (2,62), (4,31).

Help Diji in finding factors of 124 by Prime Factorization method and then sorting factors of 124 in pairs.

Prime factorization of 124 is 2 x 2 x 31. Factors of 124 in pair can be written as (1,124), (2,62), (4,31).

Write the smallest prime factor of 124.

Smallest prime factor of 124 is 2.

Write the largest prime factor of 124.

Largest prime factor of 124 is 31.

Diji wants to write all the negative factors of 124. Can you help Diji in doing the same?

Negative factors of 124 are -1, -2, -4, -31, -62, -124.