What are all the factors of 44? How to find the factors of number 44? Is 44 a prime or a composit number?
asked in Basic Math by questiun

1 Answer

The number 44 has 6 factors.

The factors of 44 are: 44, 22, 11, 4, 2, 1

The square root of 44 rounded up to the nearest integer is 7. This is the limit to test our divisions because any number greater than 7 times 7 is greater than 44. So, we stop at 7.

Let's test the values 1 through 7 for division into 44.

  • 44÷1 = 44. Remainder = 0. So, 44 and 1 are factors.
  • 44÷2 = 22. Remainder = 0. So, 22 and 2 are factors.
  • 44÷3 = 14. Remainder = 2. So, 14 isn't a factor.
  • 44÷4 = 11. Remainder = 0. So, 11 and 4 are factors.
  • 44÷5 = 8. Remainder = 4. So, 8 isn't a factor.
  • 44÷6 = 7. Remainder = 2. So, 7 isn't a factor.
  • 44÷7 = 6. Remainder = 2. So, 6 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 44 (including 44) with no remainder are: 44, 22, 11, 4, 2, 1.

So, the factors of the number 44 are: 44, 22, 11, 4, 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 44 has 6 factors, it is termed a composite number in mathematics.

As 44 is a composite number, we can factorize it, ie, express it in prime Factors as follows.

By factorizing 44 we get: 44 = 2 × 2 × 11.

Ie, 44 can be expressed as a product (factor string) of prime numbers (2 × 2 × 11).

answered by questiun