How many positive integers are factors of 27. How to find all positive factors of 27? Is 27 a prime or a composit number? How to find factors of 27.
asked in Basic Math by questiun

1 Answer

The factors of the number 27 are: 27, 9, 3, 1

The square root of 27 rounded up to the nearest integer is 6. This is the limit to test our divisions because any number greater than 6 times 6 is greater than 27. So, we stop at 6.

Let's test the values 1 through 6 for division into 27.

  • 27/1 = 27. Remainder = 0. So, 27 and 1 are factors.
  • 27/2 = 13. Remainder = 1. So, 13 isn't a factor.
  • 27/3 = 9. Remainder = 0. So, 9 and 3 are factors.
  • 27/4 = 6. Remainder = 3. So, 6 isn't a factor.
  • 27/5 = 5. Remainder = 2. So, 5 isn't a factor.
  • 27/6 = 4. Remainder = 3. So, 4 isn't a factor.

Factors of a number n are numbers that can divide n without remainder, ie, remainder = 0. So, choosing only the numbers that meet this criteria from the list above, we find that the numbers which divide 27 (including 27) with no remainder are: 27, 9, 3, 1.

So, the factors of the number 27 are: 27, 9, 3, 1.

A composite number has more than two factors. A prime number has only two factors: 1 and itself. The number 1 is neither prime nor composite.

Because the number 27 has 4 factors, it is termed a composite number in mathematics.

As 27 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 27 we get: 27 = 3 * 3 * 3.

Ie, 27 can be expressed as a product (factor string) of prime numbers (3 3 3)

answered by questiun