How many positive integers are factors of 25. How to find all positive factors of 25? Is 25 a prime or a composit number? How to find factors of 25.
asked in Basic Math by questiun

1 Answer

The factors of the number 25 are: 25, 5, 1

The square root of 25 rounded up to the nearest integer is 5. This is the limit to test our divisions because any number greater than 5 times 5 is greater than 25. So, we stop at 5.

Let's test the values 1 through 5 for division into 25.

  • 25/1 = 25. Remainder = 0. So, 25 and 1 are factors.
  • 25/2 = 12. Remainder = 1. So, 12 isn't a factor.
  • 25/3 = 8. Remainder = 1. So, 8 isn't a factor.
  • 25/4 = 6. Remainder = 1. So, 6 isn't a factor.
  • 25/5 = 5. Remainder = 0. So, 5 and 5 are factors.

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 25 (including 25) with no remainder are: 25, 5, 1.

So, the factors of the number 25 are: 25, 5, 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 25 has 3 factors, it is termed a composite number in mathematics.

As 25 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 25 we get: 25 = 5 * 5.

Ie, 25 can be expressed as a product (factor string) of prime numbers (5 * 5).

answered by questiun