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311 LearnersLast updated on December 10th, 2024
Factors of 50
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.
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
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
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
From this, we conclude that, factors of 50 are: 1,2,5,10,25, and 50.
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
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
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).
Common Mistakes and How to Avoid Them in Factors of 50
Factors of 50 Examples
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?
Explanation
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?
Explanation
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?
Explanation
Problem 4
Find the smallest number that is divisible by 5,10, and 25.
Explanation
Problem 5
If a number is divisible by both 2 and 25, is it divisible by 50?
Explanation
FAQs on Factors of 50
1.What is the factor tree for 50?
2.What to multiply to get 50?
3. What are the prime factors of 50?
4. What are the multiples of 50?
5.What are all 6 factors of 50?
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.
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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.
Fun Fact
: She loves to read number jokes and games.
