Question

Find the smallest number that has exactly 18 factors

Answer 1

Answer:

180 has exactly 18 factors. They are 1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,

60,90,180.

Answer 2

To find,

The smallest number which has exactly 18 factors.

Solution,

The factors of 180 are-

• 180 times 1 is 180. Hence 1 is a factor of 180.

• 90 times 2 is 180. Hence 2 is a factor of 180.

• 60 times 3 is 180. Hence 3is a factor of 180.

• 45 times 4 is 180. Hence 4 is a factor of 180.

• 36 times 5 is 180. Hence 5 is a factor of 180.

• 30 times 6 is 180. Hence 6 is a factor of 180.

• 20 times 9 is 180. Hence 9 is a factor of 180.

• 18 times 10 is 180. Hence 10 is a factor of 180.

• 15 times 12 is 180. Hence 12 is a factor of 180.

• 12 times 15 is 180. Hence 15 is a factor of 180.

• 10 times 18 is 180. Hence 18 is a factor of 180.

• 9 times 20 is 180. Hence 20 is a factor of 180.

• 5 times 36 is 180. Hence 36 is a factor of 180.

• 4 times 45 is 180. Hence 45 is a factor of 180.

• 3 times 60 is 180. Hence 60 is a factor of 180.

• 2 times 90 is 180. Hence 90 is a factor of 180.

We can see that 180 has exactly 18 factors and hence 180 is the smallest number that has exactly 18 factors.