# Factors of 145

Factors of 145 are 1, 5, 29, and 145

#### How to find factors of a number

 1.   Find factors of 145 using Division Method 2.   Find factors of 145 using Prime Factorization 3.   Find factors of 145 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 145

• Divide 145 by 1: 145 ÷ 1 : Remainder = 0
• Divide 145 by 5: 145 ÷ 5 : Remainder = 0
• Divide 145 by 29: 145 ÷ 29 : Remainder = 0
• Divide 145 by 145: 145 ÷ 145 : Remainder = 0

Hence, Factors of 145 are 1, 5, 29, and 145

#### 2. Steps to find factors of 145 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 145 using the division method, follow these steps:

• Step 1. Start dividing 145 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 145, which is 5. Divide 145 by 5 to obtain the quotient (29).
145 ÷ 5 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
29 ÷ 29 = 1

So, the prime factorization of 145 is, 145 = 5 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 145 as shown below:

So, the prime factorization of 145 is, 145 = 5 x 29.

#### 3. Find factors of 145 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 145 would be the two numbers which, when multiplied, give 145 as the result.

The following table represents the calculation of factors of 145 in pairs:

Factor Pair Pair Factorization
1 and 145 1 x 145 = 145
5 and 29 5 x 29 = 145

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 145. They are called negative pair factors.

Hence, the negative pairs of 145 would be ( -1 , -145 ) , ( -5 , -29 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 5, 29, 145 are exact divisors of 145.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 145 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 145.

• What are the prime factors of 145?

The factors of 145 are 1, 5, 29, 145.
Prime factors of 145 are 5, 29.

• What is the sum of all factors of 145?

The sum of all factors of 145 is 180.

• What are the pair factors of 145?

Pair factors of 145 are (1,145), (5,29).

• What two numbers make 145?

Two numbers that make 145 are 5 and 29.

• What are multiples of 145?

First five multiples of 145 are 290, 435, 580, 725.

• Is 145 a perfect square?

No 145 is not a perfect square.

• Which is greatest factor of 145?

The greatest factor of 145 is 29.

• How do you factors of 145?

Factors of 145 are 1, 5, 29, 145.

• What are five multiples of 145?

First five multiples of 145 are 290, 435, 580, 725, 870.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 145?

Factors of 145 are 1, 5, 29, 145.
Even factors of 145 are 0.
Hence, product of even factors of 145 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 145? Help her in writing all the factors.

Positive factors are 1, 5, 29, 145.
Negative factors are -1, -5, -29, -145.

How many factors are there for 145?

Factors of 145 are 1, 5, 29, 145.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 145. Can you help him find them?

Factors of 145 are 1, 5, 29, 145.
Prime factors of 145 are 5, 29

Joey wants to write all the prime factors of 145 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 145 are 5, 29.
So in exponential form it can be written as 5 x 29.

What is prime factorization of 145?

Prime factorization of 145 is 5 x 29 = 5 x 29.

Can you help Rubel to find out the product of the even factors of 145?

Factors of 145 are 1, 5, 29, 145.
Even factors of 145 are 0.
Hence, product of even factors of 145 is; 0 = 0.