278 LearnersLast updated on May 26th, 2025
Factors of 200
Numbers that divide 200 completely are the factors. Factors are used in engineering and construction.
What are the Factors of 200
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200
Negative factors of 200: There’s always a corresponding negative factor for each positive factor of 200
Negative factors of 200: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -200
Prime factors of 200: These are the prime numbers themselves, having 1 and the number itself as factors
Prime factors of 200: 2, 5
Prime Factorization of 200: Prime factorization is used to express the prime factors in its exponential form
200 is prime factorized as 23 × 52
An overview of factors of 200
How to find the Factors of 200
You can use various methods to find the factors. Given below are the methods that can be used to find the factors of 200:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
In the multiplication method, we find the pairs of numbers where the product will be 200
Step 1: Find all the possible numbers that gives 200 as the product when paired together
Step 2: These numbers are the factors of 200
Step 3: Make a list of numbers that are multiplied together
List of numbers whose product is 200
1 × 200 = 200
2 × 100 = 200
4 × 50 = 200
5 × 40 = 200
8 × 25 = 200
10 × 20 = 200
So the pair of numbers will be (1,200), (2,100), (4,50), (5,40), (8,25), (10,20)
Finding Factors Using the Division Method
The division method finds the divisor and the quotient. These are the factors of 200.
Step 1: Always start the division of any number by 1. Both the number and 1 will be its factor. Example: 200÷1 = 200, where 1 is the divisor and 200 (result) is the quotient.
Step 2: Move to the next integer and continue this process until you find the numbers that completely divide 200.
Overview of Factors of 200 using the division method
Prime Factors and Prime Factorization
Prime factorization is the process where the product of prime factors gets expressed in exponential form.
Prime Factors of 200
There are two prime factors of 200
Prime factors of 200: 2,5
To find the factors of 200:
Step 1: Start the division by 2
200÷2 = 100
100÷2 = 50
50÷2 = 25
Step 2: Now divide the rest of the numbers by 5
25÷5 = 5
5÷5=1
For the prime factorization method, the product of prime factors of 200 is expressed as 23× 52
Factor Tree
Factor tree visually represents the breaking down of a number into its prime factors
Factor Tree of 200:
Factor Pairs
Factor pairs of 200 are a team of 2 factors grouped together. Their product will be equal to the number, that is 200.
Positive Factors: (1,200), (2,100), (4,50), (5,40), (8,25), (10,20)
Negative Factors: (-1, -200), (-2, -100), (-4, -50), (-5, -40), (-8, -25), (-10, -20)
Common Mistakes and How to Avoid Them in Factors of 200
Mistakes can take place when we find the factors of 200. Given below are the few mistakes made and solutions to tackle them:
Mistake 1
Writing multiplies of 200 as factors of 200.
Know the difference between a factor and multiple. Numbers that divide the given number without any remainder are known as factors, and multiples are numbers we get when the given number is multiplied by another. So, the factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200.
Factors of 200 Examples
Problem 1
Identify the factors of 20 from the factors of 200
The factors of 20 from the factors of 200 are 1, 2, 4, 5, 10 and 20
Explanation
Factors are whole that can divide the given number completely. Here, the factors of 20 are numbers that can divide completely. The factors of 20 are 1, 2, 4, 5 and 20.
Problem 2
Product of odd factors of 200
The product of odd factors is 5
Explanation
Numbers that are not divisible by 2 are odd. The odd factors are the odd numbers themselves. The odd factors of 200 are 1 and 5. Multiplying 1 and 5 (1×5) will give 5 as the product.
Problem 3
Find the sum of multiples of 10
The sum of multiples of 10 from the factors of 200 is 120
Explanation
The multiples of 10 from the factors of 200 are 10, 20, 40 and 50. Adding these multiples will give 120 as the sum (10+20+40+50 = 120)
FAQs on Factors of 200
1.Is 200 a prime number?
2.Common factors of 200 and 100
3.Is 200 a perfect square?
4.How many positive factors are there for 200?
5.Can 25 be a factor of 200?
6.How can children in Oman use numbers in everyday life to understand Factors of 200?
7.What are some fun ways kids in Oman can practice Factors of 200 with numbers?
8.What role do numbers and Factors of 200 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 200 skills?
Important Glossaries for Factors of 200
- Quotient: It is the number that gets as a result of division
- Factors: Numbers that divide the given number completely without any remainder.
- Prime Factors: Prime numbers that multiply together to form the given number.
- Prime Factorization: Process of breaking down the number into prime factors
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