Table of Contents

## Factors of 50

The numbers that divide 50 fully without leaving any remainder are known as factors of 50. All composite numbers have more than two factors. We will use a simple multiplication method to find the factors of the number 50.

**Factors of 50:** 1, 2, 5, 10, 25, 50

Read: Factors of 50

## Prime Factor of 50

The set of prime numbers whose product is 50 is known as the prime factorization of a number 50 in mathematics. As a result, the prime factorization of 50 is as follows:

**Prime Factorization of 50:** 2 × 5 × 5

## How to Calculate the factors of 50?

The factors of 50 can be calculated by various methods, we will learn the calculation of factors of 50 by division method. In the division method, all the factors which can be divided by 50 and leave zero as a remainder are the factors of 50. Let’s learn all the factors of 50 by division method:

- 1 is the factor of 50: When you divide 1 by any number it will not give any remainder that means 1 is the common factor of all the numbers.

**Example:** 50 ÷ 1, leaves the remainder zero so 1 is the factor of 50

- 2 is a factor of 50: When you divide 50 by 2 it will give zero as a remainder thus 50 is completely divisible by 2 and 2 is the factor of 50.

**Example:** 50 ÷ 2 = 25, leaves the remainder zero so 2 is the factor of 50

- 5 is a factor of 50: When you divide 50 by 5 it will give zero as a remainder thus 50 is completely divisible by 5 and 5 is the factor of 50.

**Example:** 50 ÷ 5 = 10, leaves the remainder zero so 5 is the factor of 50

- 10 is a factor of 50: When you divide 50 by 10 it will give zero as a remainder thus 50 is completely divisible by 10 and 10 is the factor of 50.

**Example:** 50 ÷ 10 = 1, leaves the remainder zero so 10 is the factor of 50

Read: Factors of 32

## Pairs of 50 Factors

When the number 50 is multiplied, the pair factors are whole numbers that provide the original number, i.e. 50. Pair factors can be positive or negative, but they can’t be fractions or decimals. In the below table, we have given the positive and negative factors of 50.

Positive Factor Pairs | Negative Factor Pairs |

(1, 50) | (-1, -50) |

(2, 25) | (-2, -25) |

(5, 10) | (-5, -10) |

**Points to be noted:** Here we have given some important points, the learner has to keep these points in mind while solving the questions based on factors.

- The factor of the given number is either equal to the given number or less than the given number.
- composite numbers can have more than two factors.
- Only Integers and whole numbers can be factors.

## Solved Examples of Factors of 50

The students must solve the examples of factors of 50 because the understanding of the concept won’t add value if you won’t practice the questions based on that concept. So here we have given many solved examples of factors of 50 the students must refer to these examples.

**Q. What is the addition of all the factors of the number 50?**

**Solution:****
**Factors of 50: 1, 2, 5, 10, 25, 50

Addition of all the given factors of 50 = 1 + 2 + 5 + 10 + 25 + 50 = 93

Hence the Addition of all the given factors of 50 is 93.

**Q. If there are 100 pencils distributed equally in 10 boxes. What is the total number of pencils?**

Solution: Given,

No. of pencils = 100

No. of boxes = 10

The number of pencils in each box = 100/10 = 10

Hence, the number of pencils in each box is 10.

**Q. What are the common factors of 50 and 125?**

Solution: Factors of 50 are 1,2,5,10,25 and 50

Factors of 125 are 1, 5, 25 and 125.

The common factors of 50 and 125 are 1, 5, 25.

Hence, 50 and 125 have 3 common factors.

**Q. If the price of one mango is Rs. 25, then what is the cost of 5 mangoes?**

Solution:

Given,

Cost of one mango = Rs. 25

Cost of 5 mangoes = 25 x 5 = Rs. 125

Hence, the cost of 5 mangoes will be 125.

**Q. What are the common factors of 50 and 100?**

Solution: Factors of 50 are 1,2,5,10,25 and 50

Factors of 100 are 1,2,5,10,25 and 50, 100.

The common factors of 50 and 125 are 1,2,5,10,25 and 50, 100.

Hence, 50 and 100 have 7 common factors.

**Q. What are the common factors of 50 and 70?**

Solution: Factors of 50 are 1,2,5,10,25 and 50

Factors of 70 are 1, 2, 5,7,14, 10, 35 and 70

The common factors of 50 and 70 are 1, 2, 5.

Hence, 50 and 70 have 3 common factors.

**Q. What are the common factors of 50 and 220?**

Solution: Factors of 50 are 1,2,5,10,25 and 50

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110 and 220.

The common factors of 50 and 220 are 1, 2, 5, 10.

Hence, 50 and 220 have 4 common factors.

## FAQs on Factors of 50

**Q. What are the factors of 50?**

The Factors of 50 are1, 2, 5, 10, 25, 50

**Q. is 2 a factor of 50?**

Yes, 2 is a factor of 50, according to the divide method when you divide 50 by 2 it will give zero remainders. Hence, 2 is a factor of 50.

**Q. is 5 a factor of 50?**

Yes, 5 is a factor 50 because 50 is completely divisible by 5.

**Q. is 10 a factor of 50?**

Yes, 10 is a factor 50 because 50 is completely divisible by 10.