How many factors in 2000?

Answer 1

Start with the basic factors which are the number itself and 1. Then continue to divide by prime numbers of increasing value but also include multiples of the prime factors.

2010 x 1

1005 x 2

670 x 3

402 x 5

335 x 6

201 x 10

134 x 15

67 x 30

Extracting factors is complete when one or both of a pair of factors is a Prime number.

In this question, 67 is a prime number.

Answer 2

There are 10 factor pairs of 2,000.

1. 2000 = 1 x 2000
2. 2000 = 2 x 1000
3. 2000 = 4 x 500
4. 2000 = 5 x 400
5. 2000 = 8 x 250
6. 2000 = 10 x 200
7. 2000 = 16 x 125
8. 2000 = 20 x 100
9. 2000 = 25 x 80
10. 2000 = 40 x 50

Answer 3

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

Answer 4

1 x 2100, 2 x 1050, 3 x 700, 4 x 525, 5 x 420, 6 x 350, 7 x 300, 10 x 210, 12 x 175, 14 x 150, 15 x 140, 20 x 105, 21 x 100, 25 x 84, 28 x 75, 30 x 70, 35 x 60, 42 x 50

Answer 5

2,000 has 20 factors.

Answer 6

(2005,1)(401,5)