# Factors of 200 | Prime Factorization of 200 | Factor Tree of 200

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 200 | Prime Factorization of 200 | Factor Tree of 200

Factors of a number are the numbers that can divide the given number totally with no decimal numbers in the quotient. Based on the count of the factors of a given number, it can be categorized into prime number and composite number. The prime numbers are the numbers that have two or less than two numbers as factors. The composite numbers are the numbers that have more than two numbers as their factors.

**What Are the Factors of 200?**

Factors of the number 200 are the numbers that are able to divide the number 200 completely with no decimal points in the quotient. Those numbers are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. As it has more than two factors, 200 is a composite number.

Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. |

Negative Factors of 200: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, and -200. |

Prime Factorization of 200: 2 x 2 x 2 x 5 x 5 |

Pair Factors of 200: (1, 200), (2,100), (4,50), ( 5,40), (8,25), and (10,20). |

Prime Factor of 200: 2 and 5 |

Sum of Factors of 200: 465 |

Sum of Prime Factors of 200: 7 |

**Factors of 200**

**What Are the Factors of 200 in Pairs?**

The pair factors of the number 200 are the numbers that are able to produce the number 200 when multiplied together. These pair factors can exist in both positive and negative forms.

**Positive Pair Factors of** **200**

The positive pair factors of 200 are (1, 200), (2,100), (4,50), ( 5,40), (8,25), and (10,20).

**Negative Pair Factors of** **200**

The negative factors of 200 are (-1, -200), (-2,-100), (-4,-50), (-5,-40), (-8,-25), and (-10,-20).

**What Is the Prime Factorization Method of 200?**

The prime factorization method helps to find the prime factors of a given number. The steps involved in this process are as follows:

**Step 1:**Put the number 200 at the top and now divide the number by the smallest prime number that can divide it, which is 2.

200 ÷ 2 = 100**Step 2:**The number 100 is again divisible by 2.

100 ÷ 2 = 50**Step 3:**The number 50 is again divisible by 2.

50 ÷ 2 = 25**Step 4:**The number 25 is divisible by 5.

25 ÷ 5 = 5**Step 5:**The number can be divided by 5.

5 ÷ 5 = 1**Step 6:**Now, the number obtained is 1, and therefore, the prime factors of 200 are 2 x 2 x 2 x 5 x 5.

The image of the prime factorization of 200 is given below:

**How to Find Factors of 200 Through Division Method?**

With the help of the division method, the complete factors of the given number can be found. The steps involved in the division method of 200 are given below:

- 200 ÷ 1 = 200
- 100 ÷ 2 = 50
- 200 ÷ 4 = 50
- 200 ÷ 5 = 40
- 200 ÷ 8 = 25
- 200 ÷ 10 = 20
- 200 ÷ 20 = 10
- 200 ÷ 25 = 8
- 200 ÷ 40 = 5
- 200 ÷ 50 = 4
- 200 ÷ 100 = 2
- 200 ÷ 200 = 1

Therefore, the factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

**What Is the Factor Tree of 200? **

The factors of a given number can always be found by the factor tree method. The steps involved in the factor tree are as follows:

**Step 1:**Place the number 200 at the top of the factor tree and its pair factors on its branches, which are 2 and 100.**Step 2:**Now, split the factors of 100 into its branches. And they are 2 and 50.**Step 3:**Again the number 50 has factors and so place them on its branches. Those numbers are 5 and 25.**Step 4:**Now, the factors of 25 are 5 and 5, so let’s place them on their branches.- Step 5: Therefore, the factors of 200 are 2 x 2 x 2 x 5 x 5.

The below image shows the factor tree of 200.

## Solved Examples

**What are the prime factors of 200? **

The prime factors of 200 are 2 and 5.

**What is the sum of the factors of 200?**

Th sum of the factors of 200 is 465.

**What is the prime factorization of 200?**

The prime factorization of 200 is** **2 x 2 x 2 x 5 x 5.

**Frequently Asked Questions **

**What are all the prime factors of 200?**

The prime factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

**What factor of 200 is a perfect square?**

Among the factors of 200, the number 4 is a perfect square of 2.

**What are the factors of 200?**

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

**Is 200 a multiple of 10?**

Yes, 200 is a multiple of 10. As, 10 x 20 = 200.

**What is the cube of 200?**

The cube of 200 is 8, 000,000.

Written by

Prerit Jain