Factors of 325

The factors of 325 are the numbers that divide 325 evenly.

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

Negative Factors: Negative factors are the counterparts of the positive factors but in a negative form. They also divide 325 completely without leaving a remainder.

Negative Factors: -1, -5, -13, -25, -65, -325

Prime Factors: Prime factors are the prime numbers that, when multiplied together, give 325 as the product.

Prime Factors: 5, 13

Prime Factorization: Prime factorization involves expressing 325 as a product of its prime factors. For 325, the prime factorization is:

Prime Factorization: 5¹ × 5¹ × 13¹

Table listing the factors of 325:

This breakdown helps in understanding the various factors of 325, whether they are positive or negative, as well as how prime factorization works for this number.

There are different methods to find the factors of 325. Below are some of the common methods:

Methods to Find the Factors of 325:

1. Multiplication Method
2. Division Method
3. Prime Factorization
4. Factor Tree

The multiplication method helps find pairs of numbers that, when multiplied together, result in 325.

Step 1: Find pairs of numbers whose product is 325.

Step 2: The factors are the numbers that, when multiplied, give 325.

Step 3: List the pairs of numbers whose product equals 325.

The list of numbers whose products are 325 is given below:
1 × 325 = 325
5 × 65 = 325
13 × 25 = 325

Thus, the factors of 325 are 1, 5, 13, 25, 65, and 325.

The division method finds the numbers that divide 325 completely. The steps are as follows:

Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 325 ÷ 1 = 325

Step 2: Move to the next integers and divide 325 by them. Both the divisor and quotient are factors of 325.

• 325 ÷ 5 = 65
• 325 ÷ 13 = 25

Thus, the factors of 325 are 1, 5, 13, 25, 65, and 325.

Prime factors are prime numbers that, when multiplied together, give the given number. Prime factorization breaks down a number into its prime factors.

Prime Factors of 325:

The prime factors of 325 are 5 and 13. To find the prime factors, we divide 325 by these prime numbers.

Step 1: Divide 325 by the prime number 5

• 325 ÷ 5 = 65

Step 2: Divide 65 by the prime number 13

• 65 ÷ 13 = 5

Step 3: Divide 5 by the prime number 5

• 5 ÷ 5 = 1

Prime Factorization of 325:

The prime factorization of 325 is the product of its prime factors.

Prime Factorization of 325: 5¹ × 5¹ × 13¹

A factor tree visually represents the prime factorization of a number. Each branch of the tree splits into prime factors, helping to understand the process clearly.
  

This tree shows the breakdown of 325 into its prime factors: 5 × 5 × 13.

Positive and Negative Factor Pairs of 325:

Factors of 325 can be written in both positive and negative pairs. These pairs multiply to give the number 325.

Positive Factor Pairs: (1, 325), (5, 65), (13, 25)
Negative Factor Pairs: (-1, -325), (-5, -65), (-13, -25)

By using these methods, you can easily find the factors of 325, whether positive or negative and understand its prime factorization.
 

• Co-prime: Numbers having 1 as the only common factor.
   
• Perfect Square: The number we get when the same number is multiplied twice.
   
• Prime Factors: Prime numbers, which are factors of a given number
   
• Factor Tree: A tree diagram used to represent the prime factors of a given number.
   
• Multiple: Numbers we get when another number multiplies the given number.