Is 1440 a Prime Number?
2026-02-28 11:50 Diff

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers. If there is a total count of only 2 divisors, then the number would be prime. If the count is more than 2, then the number is composite. Let’s check whether 1440 is prime or composite.

Step 1: All numbers are divisible by 1 and itself.

Step 2: Divide 1440 by 2. It is divisible by 2, so 2 is a factor of 1440.

Step 3: Continue dividing 1440 by subsequent integers. It is divisible by 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 160, 180, 240, 288, 360, 480, 720, and 1440. Since 1440 has more than 2 divisors, it is a composite number.