Factors of 425: Prime Factorization, Methods, and Examples

When 425 is divided from them, the numbers that leave zero as the remainder are the 425’s factors. These divisors also result in a whole number quotient, so they behave as factors. They also form a factor pair. 

Factors Of 425

Both positive and negative aspects of these factors are possible.

Factors of 425

Here are the factors of number 425.

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

Negative Factors of 425

The negative factors of 425 are similar to its positive aspects, just with a negative sign.

Negative Factors of 425:-1, -5, -17, -25, -85 and -425

Prime Factorization of 425

The prime factorization of 425 is the way of expressing its prime factors in the product form.

Prime Factorization: 52 x 17

In this article, we will learn about the factors of 425 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 425?

The factors of 425 are 1, 5, 17, 25, 85 and 425. These numbers are the factors as they do not leave any remainder when divided by 425.

The factors of 425 are classified as prime numbers and composite numbers. The prime factors of the number 425 can be determined using the prime factorization technique.

How To Find the Factors of 425?

You can find the factors of 425 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.

To find the factors of 425, create a list containing the numbers that are exactly divisible by 425 with zero remainders. One important thing to note is that 1 and 425 are the 425’s factors as every natural number has 1 and the number itself as its factor.

1 is also called the universal factor of every number. The factors of 425 are determined as follows:

\[\dfrac{425}{1} = 425\]

\[\dfrac{425}{5} = 85\]

\[\dfrac{425}{17} = 25\]

\[\dfrac{425}{25} = 17\]

\[\dfrac{425}{85} = 5\]

\[\dfrac{425}{425} = 1\]

Therefore, 1, 5, 17, 25, 85, and 425 are the factors of 425.

Total Number of Factors of 425

For 425, there are 6 positive factors and 6 negative ones. So in total, there are 12 factors of 425. 

To find the total number of factors of the given number, follow the procedure mentioned below:

  1. Find the factorization/prime factorization of the given number.
  2. Demonstrate the prime factorization of the number in the form of exponent form.
  3. Add 1 to each of the exponents of the prime factor.
  4. Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.

By following this procedure, the total number of factors of 425 is given as:

Factorization of 425 is 1, 5, 17, 25, 85 and 425.

The exponent of 1, 5, 17, 25, 85, and 425 is 1.

Adding 1 to each and multiplying them together results in 12.

Therefore, the total number of factors of 425 is 12. 6 is positive, and 6 factors are negative.

Important Notes

Here are some essential points that must be considered while finding the factors of any given number:

  • The factor of any given number must be a whole number.
  • The factors of the number cannot be in the form of decimals or fractions.
  • Factors can be positive as well as negative.
  • Negative factors are the additive inverse of the positive factors of a given number.
  • The factor of a number cannot be greater than that number.
  • Every even number has 2 as its prime factor, the smallest prime factor.

Factors of 425 by Prime Factorization

The number 425 is a composite number. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.prime factorization of 425

Before finding the factors of 425 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.Factors of 425 in Pairs

To start the prime factorization of 425, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.

Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 425 can be expressed as:

425 = 52 x 17

Factors of 425 in Pairs

The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.

For 425, the factor pairs can be found as:

1 x 425 = 425

5 x 85 = 425

17 x 25 = 425

The possible factor pairs of 425 are given as (1, 425), (5, 85), and (17, 25).

All these numbers in pairs, when multiplied, give 425 as the product.

The negative factor pairs of 425 are given as:

-1 x -425 = 425

-5 x -85 = 425

-17 x -25 = 425

It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, -1, -5, -17, -25, -85 and -425 are called negative factors of 425.

The list of all the factors of 425, including positive as well as negative numbers, is given below.

Factor list of 425: 1,-1, 5,-5, 17,-17, 25,-25, -85,  425, and -425

Factors of 425 Solved Examples

To better understand the concept of factors, let’s solve some examples.

Example 1

How many factors of 425 are there?


The total number of Factors of 425 is m.

Factors of 425 are1, 5, 17, 25, 85 and 425.

Example 2

Find the factors of 425 using prime factorization.


The prime factorization of 425 is given as:

425 $\div$ 5 = 85 

85 $\div$ 5 = 17 

17 $\div$ 17= 1

So the prime factorization of 425 can be written as:

52 x 17 = 425

Factors of 424|Factors List| Factors of 426