101 LearnersLast updated on May 26th, 2025
Factors of 745
Factors are the numbers that divide any given number evenly without 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 745, how they are used in real life, and tips to learn them quickly.
What are the Factors of 745?
The numbers that divide 745 evenly are known as factors of 745.
A factor of 745 is a number that divides the number without remainder.
The factors of 745 are 1, 5, 149, and 745.
Negative factors of 745: -1, -5, -149, and -745.
Prime factors of 745: 5 and 149.
Prime factorization of 745: 5 × 149.
The sum of factors of 745: 1 + 5 + 149 + 745 = 900
How to Find Factors of 745?
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 745. Identifying the numbers which are multiplied to get the number 745 is the multiplication method.
Step 1: Multiply 745 by 1, 745 × 1 = 745.
Step 2: Check for other numbers that give 745 after multiplying 5 × 149 = 745
Therefore, the positive factor pairs of 745 are: (1, 745) and (5, 149).
All these factor pairs result in 745.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 745 by 1, 745 ÷ 1 = 745.
Step 2: Continue dividing 745 by the numbers until the remainder becomes 0.
745 ÷ 1 = 745
745 ÷ 5 = 149
Therefore, the factors of 745 are: 1, 5, 149, and 745.
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 factor tree
Using Prime Factorization: In this process, prime factors of 745 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
745 ÷ 5 = 149
149 ÷ 149 = 1
The prime factors of 745 are 5 and 149.
The prime factorization of 745 is: 5 × 149.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 745 is divided by 5 to get 149.
Step 2: Now divide 149 by 149 to get 1. Here, 149 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 745 is: 5 × 149.
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 745: (1, 745) and (5, 149).
Negative factor pairs of 745: (-1, -745) and (-5, -149).
Common Mistakes and How to Avoid Them in Factors of 745
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 745, 1 and 745 is also a factor.
Factors of 745 Examples
Problem 1
There are 5 teams and 745 points. How will they divide it equally?
Each team will get 149 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
745/5 = 149
Problem 2
A garden is rectangular, the length of the garden is 149 meters and the total area is 745 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
745 = 149 × width
To find the value of width, we need to shift 149 to the left side.
745/149 = width
Width = 5.
Problem 3
There are 149 boxes and 745 apples. How many apples will be in each box?
Each box will have 5 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
745/149 = 5
Problem 4
In a hall, there are 745 chairs, and 5 rows. How many chairs are there in each row?
There are 149 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
745/5 = 149
Problem 5
745 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 149 books.
Explanation
Divide total books by shelves.
745/5 = 149
FAQs on Factors of 745
1.What are the factors of 745?
2.Mention the prime factors of 745.
3.Is 745 a multiple of 5?
4.Mention the factor pairs of 745?
5.What is the square of 745?
6.How can children in Australia use numbers in everyday life to understand Factors of 745?
7.What are some fun ways kids in Australia can practice Factors of 745 with numbers?
8.What role do numbers and Factors of 745 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 745 skills?
Important Glossaries for Factors of 745
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 745 are 1, 5, 149, and 745.
- Prime factors: The factors which are prime numbers. For example, 5 and 149 are prime factors of 745.
- 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 745 are (1, 745) and (5, 149).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 745 is 5 × 149.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 745 is a multiple of 5.
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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.
