271 LearnersLast updated on May 26th, 2025
Factors of 145
Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 145. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 145.
What are the Factors of 145?
The factors of 145 or the numbers which divide 145 exactly are:
1,5,29, and 145.
- Negative factors of 145: -1,-5,-29,-145.
- Prime factors of 145: 5,29
- Prime factorization of 145: 5×29
- The sum of factors of 145: 1+5+29+145= 180
How to Find the Factors of 145
For finding factors of 145, we will be learning these below-mentioned methods:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method often finds the pair of factors which, on multiplication together, produces 145.
Let us find the pairs which, on multiplication, yields 145.
1×145=145
5×29=145
So, factors of 145 are: 1,5,29, and 145.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 145. In this process, we have to divide 145 by all possible natural numbers less than 145 and check.
1,5,29, and 145 are the only factors that the number 145 has. So to verify the factors of 145 using the division method, we just need to divide 145 by each factor.
145/1 =145
145/5=29
145/29=5
145/145=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 145 into a product of its prime integers.
- Prime Factors of 145: 5,29.
- Prime Factorization of 145: 5×29
Factor tree
The number 145 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 145.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 145 are 5 and 29.
Factor Pairs
Positive pair factors: (1,145), (5,29)
Negative pair factors: (-1,-145), (-5,-29).
Common Mistakes and How to Avoid Them in Factors of 145
Solving problems based on factors can, sometimes, lead to misconceptions among children. Let us check what the common errors are and how to avoid them.
Mistake 1
Factors might be larger than the given number.
Factors can never be larger than the given number, but multiples can be. You need to understand the concept that factors are integers which divide a given number perfectly, and multiples are the products we get when the original number is multiplied with different numbers.
Factors of 145 Examples
Problem 1
Find the GCF of 145 and 45
Factors of 145: 1,5,29,145
Factors of 45: 1,3,5,9,15,45
Common factors of 45 and 145: 1,5
So, the Greatest Common Factor of 45 and 145 is 5.
Answer: 5
Explanation
We first listed out the factors of 45 and 145 and then found the common factors and then identified the greatest common factor from the common list.
Problem 2
Find the LCM of 145 and 140
Prime factorization of 145: 5×29.
Prime factorization of 140: 22×5×7
LCM of 145 and 140: 22×5×7×29 = 4060.
Answer: 4060
Explanation
Did prime factorization of both 145 and 140. The LCM is the product of the highest power of each factor.
Problem 3
The area of a rectangle is 145 square units. If the length is 29 units, then what is the measure of its width?
Area of rectangle: 145 sq units
Factors of 145: 1,5,29,145
We know that the area of a rectangle is the product of its length and breadth.
Given, length= 29 units
There exists a factor pair of 145, which is (5,29). Hence, width is 5 units. Let’s check it through the formula for area.
So, length×width = area
⇒ 29 × width = 145
⇒ width = 145/29 = 5
Answer: 5 units
Explanation
Used the concept of factor pairs for 145 and rechecked using the formula for finding area of a rectangle.
Problem 4
Find the smallest number that is divisible by 5,29, and 145.
Prime factorization of 5: 5×1.
Prime factorization of 29: 29×1
Prime factorization of 145: 5×29
LCM of 5,29, and 145: 5×29= 145
Answer: 145 is the smallest number which is divisible by 5,29,145.
Explanation
To find the smallest number which is divisible by 5,29,145 we need to find the LCM of these numbers.
Problem 5
What is the sum of the factors of 145 and 150?
Factors of 145: 1,5,29,145
Sum of the factors: 1+5+29+145= 180
Factors of 150: 1,2,3,5,6,10,15,25,30,50,75,150
Explanation
Sum of the factors: 1+2+3+5+6+10+15+25+30+50+75+150=372
FAQs on Factors of 145
1.How many factors does 145 have?
2.Is 145 a prime factor?
3.What is the prime factorization of root 145?
4.What is the LCM of 87 and 145?
5.What is the LCM of 180 and 145?
6.How can children in United States use numbers in everyday life to understand Factors of 145?
7.What are some fun ways kids in United States can practice Factors of 145 with numbers?
8.What role do numbers and Factors of 145 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 145 skills?
Important Glossaries for Factors of 145
- Multipliers - Number which multiplies or a number by which another number is multiplied.
- Dividers - A number that divides.
- Prime Factorization - It involves factoring the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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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.
