How many positive integers are factors of 22. How to find all positive factors of 22? Is 22 a prime or a composit number? How to find factors of 22.
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1 Answer

The factors of the number 22 are: 22, 11, 2, 1

The square root of 22 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 22. So, we stop at 5.

Let's test the values 1 through 5 for division into 22.

  • 22/1 = 22. Remainder = 0. So, 22 and 1 are factors.
  • 22/2 = 11. Remainder = 0. So, 11 and 2 are factors.
  • 22/3 = 7. Remainder = 1. So, 7 isn't a factor.
  • 22/4 = 5. Remainder = 2. So, 5 isn't a factor.
  • 22/5 = 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 22 (including 22) with no remainder are: 22, 11, 2, 1.

So, the factors of the number 22 are: 22, 11, 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 22 has 4 factors, it is termed a composite number in mathematics.

As 22 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 22 we get: 22 = 2 * 11.

Ie, 22 can be expressed as a product (factor string) of prime numbers (2 * 11).

answered by expert