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Last updated on December 10th, 2024

Factors of 145

Q: How many factors does 145 have?

145 have some perfect divisors, just like any other numbers, which leaves no remainder on dividing 145. They are: 1,5,29,145, i.e., a total of 4 factors.

Q: Is 145 a prime factor?

We identify prime factors of some number as those which are a prime number factor of that number. 145 is not a prime number, and hence, it is not a prime factor.

Q: What is the prime factorization of root 145?

Firstly, the prime factorization for finding out the square root of 145 is just simply the prime factorization of 145, i.e., 145= 5×29. Now, for the value of √145, it is √(5×29).

Q: What is the LCM of 87 and 145?

Prime factorization of 87= 3×29 Prime factorization of 145= 5×29 LCM of 87 and 145 = 3×5×29 = 435

Q: What is the LCM of 180 and 145?

Prime factorization of 180= 32×22×5 Prime factorization of 145= 5×29 LCM of 87 and 145 = 32×5×22×29 =5220

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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

$Factors of 145 by multiplication method$
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

$Factors of 145 by the division method$

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.

$Factors of 145 using factor tree$

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

Factors of 145 Examples

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Problem 1

Find the GCF of 145 and 45

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Find the LCM of 145 and 140

Explanation

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?

Explanation

Problem 4

Find the smallest number that is divisible by 5,29, and 145.

Explanation

Problem 5

What is the sum of the factors of 145 and 150?

Explanation

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?

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.