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Last updated on December 10th, 2024

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Factors of 50

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Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors 50 easily.

Factors of 50 for Australian Students
Professor Greenline from BrightChamps

What are the Factors of 50?

Factors of 50 are those numbers that can divide 50 perfectly. The factors of 50 are:


1,2,5,10,25, and 50.


Negative factors of 50: -1, -2, -5, -10, -25, -50


Prime factors of 50: 2,5


Prime factorization of 50: 52×2


The sum of factors of 50: 1+2+5+10+25+50 = 93
 

Professor Greenline from BrightChamps

How to Find the Factors of 50

For finding factors of 50, we will be learning these below-mentioned methods:

 

  • Multiplication Method

 

  • Division Method

 

  • Prime Factor and Prime Factorization

 

  • Factor Tree
Professor Greenline from BrightChamps

Finding Factors using Multiplication Methods

This particular method often finds the pair of factors which, on multiplication together, produces 50. Let us find the pairs which, on multiplication, yields 50.


1×50=50


2×25=50


5×10=50

Factors of 50 by multiplication method
From this, we conclude that, factors of 50 are: 1,2,5,10,25, and 50.
 

Professor Greenline from BrightChamps

Finding Factors using Division Method

The division method finds the numbers that evenly divides the given number 50. To find the factors of 50, we have to divide 50 by all possible natural numbers less than 50 and check.


1,2,5,10,25,50 are the only factors that the number 50 has. So to verify the factors of 50 using the division method, we just need to divide 50 by each factor.


50/1 =50


50/2 =25


50/5=10


50/10=5


50/25=2


50/50=1
Factors of 50 by the division method

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Prime Factorization is the easiest process to find prime factors. It decomposes 50 into a product of its prime integers.


Prime Factors of 50: 2,5.


Prime Factorization of 50: 5×5×2 = 52×2
 

Professor Greenline from BrightChamps

Factor tree

The number 50 is written on top and two branches are extended.


Fill in those branches with a factor pair of the number above, i.e., 50.


Continue this process until each branch ends with a prime factor (number).


The first two branches of the factor tree of 50 are 2 and 25, then proceeding to 25, we get 5 and 5. So, now the factor tree for 50 is achieved. 


Factor Pairs:


Positive pair factors:   (1,50), (2,25), and (5,10)


Negative pair factors: (-1,-50), (-2,-25), and (-5,-10).
Factors of 50 using factor tree

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 50

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Factors of 50 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A baker has 50 cupcakes and 150 cookies. He wants to divide them equally among some plates. What is the maximum number of plates he can use?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 2

Two trains leave a station at the same time. One leaves every 25 minutes and the other every 50 minutes. When will they leave together again?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 3

The area of a rectangle is 50 square units. If the length is 10 units, then what is the measure of its width?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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Max, the Girl Character from BrightChamps

Problem 4

Find the smallest number that is divisible by 5,10, and 25.

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Explanation

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Max, the Girl Character from BrightChamps

Problem 5

If a number is divisible by both 2 and 25, is it divisible by 50?

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Explanation

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Ray Thinking Deeply About Math Problems

FAQs on Factors of 50

1.What is the factor tree for 50?

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2.What to multiply to get 50?

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3. What are the prime factors of 50?

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4. What are the multiples of 50?

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5.What are all 6 factors of 50?

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6.How can children in Australia use numbers in everyday life to understand Factors of 50?

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7.What are some fun ways kids in Australia can practice Factors of 50 with numbers?

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8.What role do numbers and Factors of 50 play in helping children in Australia develop problem-solving skills?

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9.How can families in Australia create number-rich environments to improve Factors of 50 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 50

  • Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.

 

  • Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.

 

  • Prime Factorization - It involves factoring the number into its prime factors.

 

  • Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

 

  • Composite numbers - These are numbers having more than two factors.

 

  • Multiple - It is a product of the given number and any other integer.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, numbers mean more than just digits—they open doors to a world of possibilities! We’re here to help children across Australia grasp essential math skills, focusing today on Factors of 50 with a special emphasis on factors—in a way that’s fun, engaging, and easy to follow. Whether your child is figuring out the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance to buy gadgets, understanding numbers builds everyday confidence. Our hands-on lessons make learning enjoyable and straightforward. Since kids in Australia learn differently, we customize lessons to suit each child’s style. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life throughout Australia. Let’s make factors an exciting part of every child’s math journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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