Factors of 1250

The numbers that divide 1250 evenly are known as factors of 1250. A factor of 1250 is a number that divides the number without remainder. The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, and 1250.

Negative factors of 1250: -1, -2, -5, -10, -25, -50, -125, -250, -625, and -1250.

Prime factors of 1250: 2 and 5.

Prime factorization of 1250: 2 × 5⁴.

The sum of factors of 1250: 1 + 2 + 5 + 10 + 25 + 50 + 125 + 250 + 625 + 1250 = 2343

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

1. Finding factors using multiplication
2. Finding factors using 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 1250. Identifying the numbers which are multiplied to get the number 1250 is the multiplication method.

Step 1: Multiply 1250 by 1, 1250 × 1 = 1250.

Step 2: Check for other numbers that give 1250 after multiplying     

2 × 625 = 1250    

 5 × 250 = 1250     

10 × 125 = 1250    

 25 × 50 = 1250

Therefore, the positive factor pairs of 1250 are: (1, 1250), (2, 625), (5, 250), (10, 125), (25, 50). All these factor pairs result in 1250. 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 results as whole numbers as factors. Factors can be calculated by following simple division method -

Step 1: Divide 1250 by 1, 1250 ÷ 1 = 1250.

Step 2: Continue dividing 1250 by the numbers until the remainder becomes 0.

1250 ÷ 1 = 1250

1250 ÷ 2 = 625

1250 ÷ 5 = 250

1250 ÷ 10 = 125

1250 ÷ 25 = 50

Therefore, the factors of 1250 are: 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250.

The factors can be found by dividing it with 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 1250 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1250 ÷ 2 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

The prime factors of 1250 are 2 and 5. The prime factorization of 1250 is: 2 × 5⁴.

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

Step 1: Firstly, 1250 is divided by 2 to get 625.

Step 2: Now divide 625 by 5 to get 125.

Step 3: Then divide 125 by 5 to get 25.

Step 4: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1250 is: 2 × 5⁴.

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 1250: (1, 1250), (2, 625), (5, 250), (10, 125), and (25, 50).

• Negative factor pairs of 1250: (-1, -1250), (-2, -625), (-5, -250), (-10, -125), and (-25, -50).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, and 1250.

• Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 1250.

• 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 1250 are (1, 1250), (2, 625), etc.

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1250 is 2 × 5⁴.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, the pairs for 1250 are (1, 1250), (2, 625), etc.