# Factors of 425

Factors of 425 are 1, 5, 17, 25, 85, and 425

#### How to find factors of a number

 1.   Find factors of 425 using Division Method 2.   Find factors of 425 using Prime Factorization 3.   Find factors of 425 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 425

• Divide 425 by 1: 425 ÷ 1 : Remainder = 0
• Divide 425 by 5: 425 ÷ 5 : Remainder = 0
• Divide 425 by 17: 425 ÷ 17 : Remainder = 0
• Divide 425 by 25: 425 ÷ 25 : Remainder = 0
• Divide 425 by 85: 425 ÷ 85 : Remainder = 0
• Divide 425 by 425: 425 ÷ 425 : Remainder = 0

Hence, Factors of 425 are 1, 5, 17, 25, 85, and 425

#### 2. Steps to find factors of 425 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 425 using the division method, follow these steps:

• Step 1. Start dividing 425 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 425, which is 5. Divide 425 by 5 to obtain the quotient (85).
425 ÷ 5 = 85
• Step 3. Repeat step 1 with the obtained quotient (85).
85 ÷ 5 = 17
17 ÷ 17 = 1

So, the prime factorization of 425 is, 425 = 5 x 5 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 425 as shown below:

So, the prime factorization of 425 is, 425 = 5 x 5 x 17.

#### 3. Find factors of 425 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 425 would be the two numbers which, when multiplied, give 425 as the result.

The following table represents the calculation of factors of 425 in pairs:

Factor Pair Pair Factorization
1 and 425 1 x 425 = 425
5 and 85 5 x 85 = 425
17 and 25 17 x 25 = 425

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 425. They are called negative pair factors.

Hence, the negative pairs of 425 would be ( -1 , -425 ) , ( -5 , -85 ) and ( -17 , -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, 17, 25, 85, 425 are exact divisors of 425.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 425 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 425.

• What two numbers make 425?

Two numbers that make 425 are 5 and 85.

• What is prime factorization of 425?

Prime factorization of 425 is 5 x 5 x 17.

• Write some multiples of 425?

First five multiples of 425 are 850, 1275, 1700, 2125.

• Which is the smallest prime factor of 425?

The smallest prime factor of 425 is 5.

• Is 425 a perfect square?

No 425 is not a perfect square.

• What is the sum of all factors of 425?

The sum of all factors of 425 is 558.

• What are factors of 425?

Factors of 425 are 1, 5, 17, 25, 85, 425.

• How do you find factors of a negative number? ( eg. -425 )?

Factors of -425 are -1, -5, -17, -25, -85, -425.

• Is 425 a whole number?

Yes 425 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 425. Help him in finding the mean of 425.

Factors of 425 are 1, 5, 17, 25, 85, 425.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 425 is 1 + 5 + 17 + 25 + 85 + 425 = 558.
Hence, the mean of factors of 425 is 558 ÷ 6 = 93.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 425? Help her in writing all the factors.

Positive factors are 1, 5, 17, 25, 85, 425.
Negative factors are -1, -5, -17, -25, -85, -425.

Joey wants to write all the prime factors of 425 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 425 are 5, 5, 17.
So in exponential form it can be written as 52 x 17.

Kevin has been asked to write 5 factor(s) of 425. Can you predict the answer?

5 factor(s) of 425 are 1, 5, 17, 25, 85.

Sammy is puzzled while calculating the prime factors of 425. Can you help him find them?

Factors of 425 are 1, 5, 17, 25, 85, 425.
Prime factors of 425 are 5, 5, 17

What is prime factorization of 425?

Prime factorization of 425 is 5 x 5 x 17 = 52 x 17.

Can you help Rubel to find out the product of the even factors of 425?

Factors of 425 are 1, 5, 17, 25, 85, 425.
Even factors of 425 are 0.
Hence, product of even factors of 425 is; 0 = 0.