Factors of 4320 - Find Prime Factorization/Factors of 4320 (2024)

Factors of 4320 are integers that can be divided evenly into 4320. There are overall 48 factors of 4320 among which 4320 is the biggest factor and its prime factors are 2, 3, 5. The Prime Factorization of 4320 is 2⁵ × 3³ × 5¹.

Factors of 4320 are pairs of those numbers whose products result in 4320. These factors are either prime numbers or composite numbers.

To find the factors of 4320, we will have to find the list of numbers that would divide 4320 without leaving any remainder.

Similarly we can find other factors. Hence, the factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320.

The number 4320 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 4320. The first step is to divide the number 4320 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

Further dividing 135 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 135 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 4320 can be written as 2⁵ × 3³ × 5¹ where 2, 3, 5 are prime.

Pair factors of 4320 are the pairs of numbers that when multiplied give the product 4320. The factors of 4320 in pairs are:

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.