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MATH. Prime Numbers. Definition of a Prime Number. A prime number is a number which has exactly two factors… In other words, a prime number is a number greater than 1 that has no factors other than 1 and itself Numbers which have more than two factors are called composite numbers ….
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MATH Prime Numbers
Definition of a Prime Number • A prime number is a number which has exactly two factors… • In other words, a prime number is a number greater than 1 that has no factors other than 1 and itself • Numbers which have more than two factors are called composite numbers…
Examples of Prime Numbers NumberFactors 2 (1,2) 3 (1,3) 5 (1,5)
Examples of Composite Numbers NumberFactors 4 (1,2,4) 6 (1,2,3,6) 8 (1,2,4,8)
What about 1? • Has only one factor (1) • Does not meet the definition of prime or composite
Using Prime Numbers • Factoring • Factoring is finished when each factor is a prime number
6 3 x 2 Both factors, 3 and 2 are prime numbers 15 5 x 3 Both factors, 5 and 2 are prime numbers Examples of Factoring
Examples of Factoring 36 4 x 9 2 x 2 x 9 2 x 2 x 3 x 3 The factor tree is not finished until all factors are prime 4 and 9 and not prime numbers