Somewhere in front of you was a list of numbers. The instructions were asking you to break down the numbers and write them as a product of their prime factors. This is known as the prime factorization. The prime factorization of 30 is 2 x 3 x 5.
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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
All non-zero numbers have factors. Some factors are prime numbers. Prime factors are factors that are prime numbers.
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
A prime number has exactly two factors: itself and 1.
29 is a prime number. Every prime number has two factors, one and the number itself.
Factors of 6 1,2,3,6 Factors of 3 1,3 (this mean that 3 is a prime number)
The factors of 281 are: 1 281 (281 is a prime number)