126 LearnersLast updated on May 26th, 2025
Factors of 445
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 445, how they are used in real life, and tips to learn them quickly.
What are the Factors of 445?
The numbers that divide 445 evenly are known as factors of 445.
A factor of 445 is a number that divides the number without a remainder.
The factors of 445 are 1, 5, 89, and 445.
Negative factors of 445: -1, -5, -89, and -445.
Prime factors of 445: 5 and 89.
Prime factorization of 445: 5 × 89.
The sum of factors of 445: 1 + 5 + 89 + 445 = 540
How to Find Factors of 445?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 445. Identifying the numbers which are multiplied to get the number 445 is the multiplication method.
Step 1: Multiply 445 by 1, 445 × 1 = 445.
Step 2: Check for other numbers that give 445 after multiplying 5 × 89 = 445
Therefore, the positive factor pairs of 445 are: (1, 445) and (5, 89). All these factor pairs result in 445.
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 result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 445 by 1, 445 ÷ 1 = 445.
Step 2: Continue dividing 445 by the numbers until the remainder becomes 0.
445 ÷ 1 = 445
445 ÷ 5 = 89
Therefore, the factors of 445 are: 1, 5, 89, and 445.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using prime factorization
Using a factor tree
Using Prime Factorization: In this process, prime factors of 445 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
445 ÷ 5 = 89
89 ÷ 89 = 1
The prime factors of 445 are 5 and 89.
The prime factorization of 445 is: 5 × 89.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 445 is divided by 5 to get 89.
Step 2: Here, 89 is a prime number, that cannot be divided anymore.
So, the prime factorization of 445 is: 5 × 89.
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 445: (1, 445) and (5, 89).
Negative factor pairs of 445: (-1, -445) and (-5, -89).
Common Mistakes and How to Avoid Them in Factors of 445
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 445, 1 and 445 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 445 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 445/1.5 = 296.666, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 445 are prime numbers.
For example, 5 and 89 are the prime factors of 445, but it has other factors like 1 and 445.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 445 as 5 × 89 and missing key factors.
Factors of 445 Examples
Problem 1
There are 5 teams and 445 points. How will they distribute it equally?
They will get 89 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
445/5 = 89
Problem 2
A painting is rectangular, the length of the painting is 5 meters and the total area is 445 square meters. Find the width?
89 meters.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
445 = 5 × width
To find the value of width, we need to shift 5 to the left side.
445/5 = width
Width = 89.
Problem 3
There are 445 marbles and 1 box. How many marbles will be in the box?
The box will have 445 marbles.
Explanation
To find the marbles in the box, divide the total marbles by the boxes.
445/1 = 445
Problem 4
In a class, there are 445 students, and they need to be grouped into 5 groups. How many students are there in each group?
There are 89 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
445/5 = 89
Problem 5
445 books need to be arranged in 1 shelf. How many books will go on each shelf?
All 445 books will be on the shelf.
Explanation
Divide the total books by the number of shelves.
445/1 = 445
FAQs on Factors of 445
1.What are the factors of 445?
2.Mention the prime factors of 445.
3.Is 445 a multiple of 5?
4.Mention the factor pairs of 445?
5.What is the square of 445?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 445?
7.What are some fun ways kids in Vietnam can practice Factors of 445 with numbers?
8.What role do numbers and Factors of 445 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 445 skills?
Important Glossaries for Factor of 445
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 445 are 1, 5, 89, and 445.
- Prime factors: The factors which are prime numbers. For example, 5 and 89 are prime factors of 445.
- 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 445 are (1, 445) and (5, 89).
- Prime factorization: The expression of a number as the product of its prime factors. For example, prime factorization of 445 is 5 × 89.
- Negative factors: Factors that are negative numbers. For example, -1, -5, -89, and -445 are negative factors of 445.
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About BrightChamps in Vietnam
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.
