How many positive integers are factors of 29. How to find the factors of number 29? Is 29 a prime or a composit number?
asked in Basic Math by questiun

1 Answer

The factors of the number 29 are: 29, 1

The square root of 29 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 29. So, we stop at 6.

Let's test the values 1 through 6 for division into 29.

  • 29÷1 = 29. Remainder = 0. So, 29 and 1 are factors.
  • 29÷2 = 14. Remainder = 1. So, 14 isn't a factor.
  • 29÷3 = 9. Remainder = 2. So, 9 isn't a factor.
  • 29÷4 = 7. Remainder = 1. So, 7 isn't a factor.
  • 29÷5 = 5. Remainder = 4. So, 5 isn't a factor.
  • 29÷6 = 4. Remainder = 5. 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 29 (including 29) with no remainder are: 29, 1.

So, the factors of the number 29 are: 29, 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 29 has just two factors (1 and itself), it is termed a prime number in mathematics.

As 29 is a prime number, we can't factorize it.

answered by questiun