101 LearnersLast updated on May 26th, 2025
Factors of 1995
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1995, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1995?
The numbers that divide 1995 evenly are known as factors of 1995.
A factor of 1995 is a number that divides the number without remainder.
The factors of 1995 are 1, 3, 5, 7, 15, 21, 35, 57, 105, 133, 399, 665, and 1995.
Negative factors of 1995: -1, -3, -5, -7, -15, -21, -35, -57, -105, -133, -399, -665, and -1995.
Prime factors of 1995: 3, 5, and 7.
Prime factorization of 1995: 3 × 5 × 7 × 19.
The sum of factors of 1995: 1 + 3 + 5 + 7 + 15 + 21 + 35 + 57 + 105 + 133 + 399 + 665 + 1995 = 3446
How to Find Factors of 1995?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1995. Identifying the numbers which are multiplied to get the number 1995 is the multiplication method.
Step 1: Multiply 1995 by 1, 1995 × 1 = 1995.
Step 2: Check for other numbers that give 1995 after multiplying
3 × 665 = 1995
5 × 399 = 1995
7 × 285 = 1995
15 × 133 = 1995
21 × 95 = 1995
35 × 57 = 1995
Therefore, the positive factor pairs of 1995 are: (1, 1995), (3, 665), (5, 399), (7, 285), (15, 133), (21, 95), (35, 57).
All these factor pairs result in 1995.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which results as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1995 by 1, 1995 ÷ 1 = 1995.
Step 2: Continue dividing 1995 by the numbers until the remainder becomes 0.
1995 ÷ 1 = 1995
1995 ÷ 3 = 665
1995 ÷ 5 = 399
1995 ÷ 7 = 285
1995 ÷ 15 = 133
1995 ÷ 21 = 95
1995 ÷ 35 = 57
Therefore, the factors of 1995 are: 1, 3, 5, 7, 15, 21, 35, 57, 105, 133, 399, 665, 1995.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1995 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1995 ÷ 3 = 665
665 ÷ 5 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
The prime factors of 1995 are 3, 5, 7, and 19.
The prime factorization of 1995 is: 3 × 5 × 7 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1995 is divided by 3 to get 665.
Step 2: Now divide 665 by 5 to get 133.
Step 3: Then divide 133 by 7 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1995 is: 3 × 5 × 7 × 19.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1995: (1, 1995), (3, 665), (5, 399), (7, 285), (15, 133), (21, 95), (35, 57).
Negative factor pairs of 1995: (-1, -1995), (-3, -665), (-5, -399), (-7, -285), (-15, -133), (-21, -95), (-35, -57).
Common Mistakes and How to Avoid Them in Factors of 1995
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1995, 1 and 1995 are also factors.
Factors of 1995 Examples
Problem 1
A group of 21 students wants to distribute 1995 candies equally. How many candies will each student get?
Each student will get 95 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1995/21 = 95
Problem 2
A garden is rectangular, the length of the garden is 57 meters, and the total area is 1995 square meters. Find the width?
35 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1995 = 57 × width
To find the value of width, we need to shift 57 to the left side.
1995/57 = width
Width = 35.
Problem 3
There are 5 teams and 1995 points to be distributed equally. How many points will each team get?
Each team will get 399 points.
Explanation
To find the points for each team, divide the total points by the number of teams.
1995/5 = 399
Problem 4
A conference room has 399 chairs, and there are 5 rows. How many chairs are in each row?
There are 79 chairs in each row.
Explanation
Dividing the chairs by the total number of rows, we will get the number of chairs in each row.
399/5 = 79
Problem 5
1995 pages need to be printed and distributed evenly over 7 printers. How many pages will each printer handle?
Each printer will handle 285 pages.
Explanation
Divide the total pages by the number of printers.
1995/7 = 285
FAQs on Factors of 1995
1.What are the factors of 1995?
2.Mention the prime factors of 1995.
3.Is 1995 a multiple of 5?
4.Mention the factor pairs of 1995?
5.What is the square of 1995?
6.How can children in Australia use numbers in everyday life to understand Factors of 1995?
7.What are some fun ways kids in Australia can practice Factors of 1995 with numbers?
8.What role do numbers and Factors of 1995 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1995 skills?
Important Glossaries for Factors of 1995
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1995 are 1, 3, 5, 7, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 3, 5, 7, and 19 are prime factors of 1995.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1995 are (1, 1995), (3, 665), etc.
- Multiplication method: A way to find factors by identifying numbers that multiply to give the original number. For example, 3 × 665 = 1995.
- Division method: A way to find factors by dividing the original number by whole numbers without leaving a remainder. For example, 1995 ÷ 3 = 665.
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About BrightChamps in Australia
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.
