Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 5 teams and 445 points. How will they distribute it equally?
They will get 89 points each.
To divide the points equally, we need to divide the total points by the number of teams.
445/5 = 89
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.
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.
There are 445 marbles and 1 box. How many marbles will be in the box?
The box will have 445 marbles.
To find the marbles in the box, divide the total marbles by the boxes.
445/1 = 445
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.
Dividing the students by the total groups, we will get the number of students in each group.
445/5 = 89
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.
Divide the total books by the number of shelves.
445/1 = 445
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.
: She loves to read number jokes and games.