What are the Factors of 5000?

Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

What are the Factors of 5000?

The following are the different types of factors of 5000:

• Factors of 5000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

• Negative Factors of 5000: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -625, -1000, -1250, -2500, -5000

• Prime Factors of 5000: 2, 5

• Prime Factorization of 5000: 23×542^3\times5^4

Factors by Division Method

To calculate the factors of 5000, 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: 5000 ÷ 2 = 2500
Step 2: 2500 ÷ 2 = 1250
Step 3: 1250 ÷ 2 = 625
Step 4: 625 ÷ 5 = 125
Step 5: 125 ÷ 5 = 25
Step 6: 25 ÷ 5 = 5
Step 7: 5 ÷ 5 = 1

In step 7, we have reached to 1, and so, the process is stopped.

• Prime Factors of 5000: 2×2×2×5×5×5×52\times2\times2\times5\times5\times5\times5

• Prime Factorization of 5000: 23×542^3\times5^4

The factors will be all the multiples of 1, 2, 2, 2, 5, 5, 5, 5, 25, 125, 625, 1250, 2500, 5000

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
5 = 1 x 5
8 = 1 x 2 x 2 x 2
10 = 2 x 5
20 = 2 x 2 x 5
25 = 1 x 25
40 = 1 x 2 x 2 x 2 x 5
50 = 2 x 25
100 = 2 x 2 x 25
125 = 1 x 125
200 = 1 x 2 x 2 x 2 x 5 x 5
250 = 2 x 125
500 = 2 x 2 x 125
625 = 1 x 625
1000 = 1 x 2 x 2 x 2 x 5 x 5 x 5
1250 = 1 x 1250
2500 = 1 x 2500
5000 = 1 x 5000

Finally Factors of 5000 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

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