# Factors of 4225

Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, and 4225

#### How to find factors of a number

 1.   Find factors of 4225 using Division Method 2.   Find factors of 4225 using Prime Factorization 3.   Find factors of 4225 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 4225

• Divide 4225 by 1: 4225 ÷ 1 : Remainder = 0
• Divide 4225 by 5: 4225 ÷ 5 : Remainder = 0
• Divide 4225 by 13: 4225 ÷ 13 : Remainder = 0
• Divide 4225 by 25: 4225 ÷ 25 : Remainder = 0
• Divide 4225 by 65: 4225 ÷ 65 : Remainder = 0
• Divide 4225 by 169: 4225 ÷ 169 : Remainder = 0
• Divide 4225 by 325: 4225 ÷ 325 : Remainder = 0
• Divide 4225 by 845: 4225 ÷ 845 : Remainder = 0
• Divide 4225 by 4225: 4225 ÷ 4225 : Remainder = 0

Hence, Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, and 4225

#### 2. Steps to find factors of 4225 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 4225 using the division method, follow these steps:

• Step 1. Start dividing 4225 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 4225, which is 5. Divide 4225 by 5 to obtain the quotient (845).
4225 ÷ 5 = 845
• Step 3. Repeat step 1 with the obtained quotient (845).
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1

So, the prime factorization of 4225 is, 4225 = 5 x 5 x 13 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4225 as shown below:

So, the prime factorization of 4225 is, 4225 = 5 x 5 x 13 x 13.

#### 3. Find factors of 4225 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 4225 would be the two numbers which, when multiplied, give 4225 as the result.

The following table represents the calculation of factors of 4225 in pairs:

Factor Pair Pair Factorization
1 and 4225 1 x 4225 = 4225
5 and 845 5 x 845 = 4225
13 and 325 13 x 325 = 4225
25 and 169 25 x 169 = 4225
65 and 65 65 x 65 = 4225

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 4225. They are called negative pair factors.

Hence, the negative pairs of 4225 would be ( -1 , -4225 ) , ( -5 , -845 ) , ( -13 , -325 ) , ( -25 , -169 ) and ( -65 , -65 ) .

#### 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, 169, 325, 845, 4225 are exact divisors of 4225.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 4225 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 4225.

• Is 4225 a perfect square?

Yes 4225 is a perfect square.

• What are factors of 4225?

Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225.

• Which is greatest factor of 4225?

The greatest factor of 4225 is 845.

• What is the sum of all factors of 4225?

The sum of all factors of 4225 is 5673.

• What are multiples of 4225?

First five multiples of 4225 are 8450, 12675, 16900, 21125.

• What is the greatest prime factors of 4225?

The greatest prime factor of 4225 is 13.

• What are six multiples of 4225?

First five multiples of 4225 are 8450, 12675, 16900, 21125, 25350, 29575.

• What is prime factorization of 4225?

Prime factorization of 4225 is 5 x 5 x 13 x 13.

• Is 4225 a whole number?

Yes 4225 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4225? Help her in writing all the factors.

Positive factors are 1, 5, 13, 25, 65, 169, 325, 845, 4225.
Negative factors are -1, -5, -13, -25, -65, -169, -325, -845, -4225.

Can you help Sammy find out the product of the odd factors of 4225?

Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225.
Odd factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225.
Hence product of odd factors of 4225 is; 1 x 5 x 13 x 25 x 65 x 169 x 325 x 845 x 4225 = 20711912837890624.

Joey wants to write all the prime factors of 4225 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4225 are 5, 5, 13, 13.
So in exponential form it can be written as 52 x 132.

How many factors are there for 4225?

Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225.
So there are in total 9 factors.

Kevin has been asked to write 8 factor(s) of 4225. Can you predict the answer?

8 factor(s) of 4225 are 1, 5, 13, 25, 65, 169, 325, 845.

Sammy is puzzled while calculating the prime factors of 4225. Can you help him find them?

Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225.
Prime factors of 4225 are 5, 5, 13, 13

What is prime factorization of 4225?

Prime factorization of 4225 is 5 x 5 x 13 x 13 = 52 x 132.