240 is the smallest number with at least 19 factors. 240 has twenty factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 262144 is the smallest number with EXACTLY 19 factors
It is actually 144
This number would have to be a squared number as it only has 15 factors. The number I have calculated is 324 as the square root is 18
it is 400 the numbers that go in it are 1,2,4,5,8,10,20,40,50,80,100,200,400
15 has more than exactly two factors (1, 3, 5, and 15), therefore it is composite. 17, 19, and 23 each have exactly 2 factors (1 and the number itself), so they are primes.
240 is the smallest number with at least 19 factors. 240 has twenty factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 262144 is the smallest number with EXACTLY 19 factors
It is actually 144
30.
360,360
16
This number would have to be a squared number as it only has 15 factors. The number I have calculated is 324 as the square root is 18
it is 400 the numbers that go in it are 1,2,4,5,8,10,20,40,50,80,100,200,400
16
The smallest number with exactly 36 factors is 1260. The factors are: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, and 1260.
Any prime number to the 14th power, like 16384.
Factors are numbers which divide another number exactly. The factors of 11 are 1 and 11. The factors of 15 are 1, 3, 5 and 15. So the only common factor of 11 and 15 is 1.
The smallest number that is divisible by 20 and 15 is 60.