Factors of 925

The numbers that divide 925 evenly are known as factors of 925. A factor of 925 is a number that divides the number without remainder. The factors of 925 are 1, 5, 25, 37, 185, and 925.

Negative factors of 925: -1, -5, -25, -37, -185, and -925.

Prime factors of 925: 5 and 37.

Prime factorization of 925: 5 × 185 = 5 × (5 × 37) = 5² × 37.

The sum of factors of 925: 1 + 5 + 25 + 37 + 185 + 925 = 1178

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using the division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 925. Identifying the numbers which are multiplied to get the number 925 is the multiplication method.

Step 1: Multiply 925 by 1, 925 × 1 = 925.

Step 2: Check for other numbers that give 925 after multiplying

5 × 185 = 925

25 × 37 = 925

Therefore, the positive factor pairs of 925 are: (1, 925), (5, 185), and (25, 37). All these factor pairs result in 925. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 925 by 1, 925 ÷ 1 = 925.

Step 2: Continue dividing 925 by the numbers until the remainder becomes 0.

925 ÷ 1 = 925

925 ÷ 5 = 185

925 ÷ 25 = 37

Therefore, the factors of 925 are: 1, 5, 25, 37, 185, and 925.

The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 925 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

925 ÷ 5 = 185

185 ÷ 5 = 37

37 is a prime number, so it cannot be divided further. The prime factors of 925 are 5 and 37. The prime factorization of 925 is: 5² × 37.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 925 is divided by 5 to get 185.

Step 2: Now divide 185 by 5 to get 37. Step 3: 37 is a prime number and cannot be divided further. So, the prime factorization of 925 is: 5² × 37.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 925: (1, 925), (5, 185), and (25, 37).

• Negative factor pairs of 925: (-1, -925), (-5, -185), and (-25, -37).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 925 are 1, 5, 25, 37, 185, and 925.

• Prime factors: The factors which are prime numbers. For example, 5 and 37 are prime factors of 925.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 925 are (1, 925), (5, 185), and (25, 37).

• Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 925 is 5² × 37.

• Negative factors: Factors that are negative numbers. For example, the negative factors of 925 include -1, -5, -25, -37, -185, and -925.