What are all the factors of a composite number?

Answer 1

A composite number is a positive integer which has a positive divisor other than one or itself. In other words, if n > 0 is an integer and there are integers 1 < a, b < n such that n = a × b, then n is composite. By definition, every integer greater than one is either a Prime number or a composite number. The number one is a unit - it is neither prime nor composite. For example, the integer 14 is a composite number because it can be factored as 2 × 7. Likewise, the integers 2 and 3 are not composite numbers because each of them can only be divided by one and itself.

The first 105 composite numbers are:4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140.

Answer 2

Every composite number can be broken down into its factors, and if you break those factors down as far as you can go, then you have a list of the prime factors of the composite number that you started with.

Answer 3

Consider the number 6. 1, 2, 3 and 6 are factors of 6 because they can divide into 6 evenly with no remainder. 6, 12, 18, 24 and infinitely many others are multiples of 6 because 6 can divide into them evenly with no remainder. Factors go into numbers, numbers go into multiples. 6 is a composite number because it has more than two factors. Prime numbers have only two factors, one and themselves. 2 and 3 are prime numbers and factors of 6, so they are prime factors of 6.

Answer 4

If a number has additional factors (other than 1 and itself) then it is a composite number. If the only two factors are 1 and itself, then the number is prime.

Answer 5

The factors of all of the numbers is the set of all positive integers.

Answer 6

The prime factors are: 2 x 5 x 5

Answer 7

That's an infinite list.

Answer 8

2 and 5