How many positive integers are factors of 26. How to find all positive factors of 26? Is 26 a prime or a composit number? How to find factors of 26.
asked in Basic Math by questiun

1 Answer

The factors of the number 26 are: 26, 13, 2, 1

The square root of 26 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 26. So, we stop at 6.

Let's test the values 1 through 6 for division into 26.

  • 26/1 = 26. Remainder = 0. So, 26 and 1 are factors.
  • 26/2 = 13. Remainder = 0. So, 13 and 2 are factors.
  • 26/3 = 8. Remainder = 2. So, 8 isn't a factor.
  • 26/4 = 6. Remainder = 2. So, 6 isn't a factor.
  • 26/5 = 5. Remainder = 1. So, 5 isn't a factor.
  • 26/6 = 4. Remainder = 2. 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 26 (including 26) with no remainder are: 26, 13, 2, 1.

So, the factors of the number 26 are: 26, 13, 2, 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 26 has 4 factors, it is termed a composite number in mathematics.

As 26 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 26 we get: 26 = 2 * 13.

Ie, 26 can be expressed as a product (factor string) of prime numbers (2 * 13).

answered by questiun