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

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

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)
 

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 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 visually represents the breaking down of a number into its prime factors

Factor Tree of 200:

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)
 

• 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