# Factors of 50 in pair

Factors of 50 in pair are (1, 50) , (2, 25) and (5, 10)

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

 1.   Steps to find factors of 50 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 50 in pair

Factor Pair Pair Factorization
1 and 50 1 x 50 = 50
2 and 25 2 x 25 = 50
5 and 10 5 x 10 = 50

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 50. They are called negative pair factors.

Hence, the negative pairs of 50 would be ( -1 , -50 ) .

#### 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 50 are 1 , 2 , 5 , 10 , 25 , 50. So, factors of 50 in pair are (1,50), (2,25), (5,10).

#### 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. 50 is a factor of itself.
• 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, 5, 10, 25, 50 are exact divisors of 50.
• 1 is a factor of every number. Eg. 1 is a factor of 50.
• Every number is a factor of zero (0), since 50 x 0 = 0.

#### Steps to find Factors of 50

• Step 1. Find all the numbers that would divide 50 without leaving any remainder. Starting with the number 1 upto 25 (half of 50). The number 1 and the number itself are always factors of the given number.
50 ÷ 1 : Remainder = 0
50 ÷ 2 : Remainder = 0
50 ÷ 5 : Remainder = 0
50 ÷ 10 : Remainder = 0
50 ÷ 25 : Remainder = 0
50 ÷ 50 : Remainder = 0

Hence, Factors of 50 are 1, 2, 5, 10, 25, and 50

• Is 50 a composite number?

Yes 50 is a composite number.

• Is 50 a prime number?

No 50 is not a prime number.

• Is 50 a perfect square?

No 50 is not a perfect square.

• Write five multiples of 50.

Five multiples of 50 are 100, 150, 200, 250, 300.

• Write all odd factors of 50?

The factors of 50 are 1, 2, 5, 10, 25, 50.
Odd factors of 50 are 1 , 5 , 25.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 50 but she is finding it difficult. Can you help her find out?

Factors of 50 are 1, 2, 5, 10, 25, 50. So, factors of 50 in pair are (1,50), (2,25), (5,10).

Sammy wants to write all the negative factors of 50 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 50 are -1, -2, -5, -10, -25, -50. Hence, factors of 50 in pair are (-1,-50), (-2,-25), (-5,-10).

Help Deep in writing the positive factors of 50 in pair and negative factor of 50 in pair.

Factors of 50 are 1, 2, 5, 10, 25, 50. Positive factors of 50 in pair are (1,50), (2,25), (5,10). Negative factors of 50 in pair are (-1,-50), (-2,-25), (-5,-10).

Find the product of all prime factors of 50.

Factors of 50 are 1, 2, 5, 10, 25, 50. Prime factors are 2, 5, 5. So, the product of all prime factors of 50 would be 2 x 5 x 5 = 50.

Can you help Sammy list the factors of 50 and also find the factor pairs?

Factors of 50 are 1, 2, 5, 10, 25, 50.
Factors of 50 in pair are (1,50), (2,25), (5,10).

Help Diji in finding factors of 50 by Prime Factorization method and then sorting factors of 50 in pairs.

Prime factorization of 50 is 2 x 5 x 5. Factors of 50 in pair can be written as (1,50), (2,25), (5,10).

Write the smallest prime factor of 50.

Smallest prime factor of 50 is 2.

Write the largest prime factor of 50.

Largest prime factor of 50 is 5.