Last updated on May 26th, 2025
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.
The factors of 145 or the numbers which divide 145 exactly are:
1,5,29, and 145.
For finding factors of 145, we will be learning these below-mentioned 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.
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 Factorization is the easiest process to find prime factors. It decomposes 145 into a product of its prime integers.
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).
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.
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
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.
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
Did prime factorization of both 145 and 140. The LCM is the product of the highest power of each factor.
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
Used the concept of factor pairs for 145 and rechecked using the formula for finding area of a rectangle.
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.
To find the smallest number which is divisible by 5,29,145 we need to find the LCM of these numbers.
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
Sum of the factors: 1+2+3+5+6+10+15+25+30+50+75+150=372
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.