# Factors of 325

Factors of 325 are 1, 5, 13, 25, 65, and 325

#### How to find factors of a number

 1.   Find factors of 325 using Division Method 2.   Find factors of 325 using Prime Factorization 3.   Find factors of 325 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 325

• Divide 325 by 1: 325 ÷ 1 : Remainder = 0
• Divide 325 by 5: 325 ÷ 5 : Remainder = 0
• Divide 325 by 13: 325 ÷ 13 : Remainder = 0
• Divide 325 by 25: 325 ÷ 25 : Remainder = 0
• Divide 325 by 65: 325 ÷ 65 : Remainder = 0
• Divide 325 by 325: 325 ÷ 325 : Remainder = 0

Hence, Factors of 325 are 1, 5, 13, 25, 65, and 325

#### 2. Steps to find factors of 325 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 325 using the division method, follow these steps:

• Step 1. Start dividing 325 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 325, which is 5. Divide 325 by 5 to obtain the quotient (65).
325 ÷ 5 = 65
• Step 3. Repeat step 1 with the obtained quotient (65).
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 325 is, 325 = 5 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 325 as shown below:

So, the prime factorization of 325 is, 325 = 5 x 5 x 13.

#### 3. Find factors of 325 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 325 would be the two numbers which, when multiplied, give 325 as the result.

The following table represents the calculation of factors of 325 in pairs:

Factor Pair Pair Factorization
1 and 325 1 x 325 = 325
5 and 65 5 x 65 = 325
13 and 25 13 x 25 = 325

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 325. They are called negative pair factors.

Hence, the negative pairs of 325 would be ( -1 , -325 ) , ( -5 , -65 ) and ( -13 , -25 ) .

#### 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, 13, 25, 65, 325 are exact divisors of 325.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 325 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 325.

• What are the prime factors of 325?

The factors of 325 are 1, 5, 13, 25, 65, 325.
Prime factors of 325 are 5, 5, 13.

• What is the sum of all factors of 325?

The sum of all factors of 325 is 434.

• What are the pair factors of 325?

Pair factors of 325 are (1,325), (5,65), (13,25).

• What two numbers make 325?

Two numbers that make 325 are 5 and 65.

• What are multiples of 325?

First five multiples of 325 are 650, 975, 1300, 1625.

• Is 325 a perfect square?

No 325 is not a perfect square.

• Which is greatest factor of 325?

The greatest factor of 325 is 65.

• How do you factors of 325?

Factors of 325 are 1, 5, 13, 25, 65, 325.

• What are five multiples of 325?

First five multiples of 325 are 650, 975, 1300, 1625, 1950.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 325?

Factors of 325 are 1, 5, 13, 25, 65, 325.
Even factors of 325 are 0.
Hence, product of even factors of 325 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 325? Help her in writing all the factors.

Positive factors are 1, 5, 13, 25, 65, 325.
Negative factors are -1, -5, -13, -25, -65, -325.

How many factors are there for 325?

Factors of 325 are 1, 5, 13, 25, 65, 325.
So there are in total 6 factors.

Sammy is puzzled while calculating the prime factors of 325. Can you help him find them?

Factors of 325 are 1, 5, 13, 25, 65, 325.
Prime factors of 325 are 5, 5, 13

Joey wants to write all the prime factors of 325 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 325 are 5, 5, 13.
So in exponential form it can be written as 52 x 13.

What is prime factorization of 325?

Prime factorization of 325 is 5 x 5 x 13 = 52 x 13.

Can you help Rubel to find out the product of the even factors of 325?

Factors of 325 are 1, 5, 13, 25, 65, 325.
Even factors of 325 are 0.
Hence, product of even factors of 325 is; 0 = 0.