What are the Factors of 2500?

What are the Factors of 2500?

The following are the different types of factors of 2500:

• Factors of 2500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

• Negative Factors of 2500: -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, -2500

• Prime Factors of 2500: 2, 5

• Prime Factorization of 2500: $2^2\times5^4$

Factors by Division Method

To calculate the factors of 2500, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 2500 ÷ 2 = 1250
Step 2: 1250 ÷ 2 = 625
Step 3: 625 ÷ 5 = 125
Step 4: 125 ÷ 5 = 25
Step 5: 25 ÷ 5 = 5
Step 6: 5 ÷ 5 = 1

In step 6, we have reached to 1, and so, the process is stopped.

• Prime Factors of 2500: $2\times2\times5\times5\times5\times5$

• Prime Factorization of 2500: $2^2\times5^4$

The factors will be all the multiples of 1, 2, 2, 5, 5, 5, 5, 25, 125, 625, 1250, 2500

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
5 = 1 x 5
10 = 2 x 5
20 = 1 x 2 x 2 x 5
25 = 1 x 25
50 = 2 x 25
100 = 1 x 2 x 2 x 5 x 5
125 = 1 x 125
250 = 2 x 125
500 = 1 x 2 x 2 x 5 x 5 x 5
625 = 1 x 625
1250 = 1 x 1250
2500 = 1 x 2500

Finally Factors of 2500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500