Factors and Multiples of Whole Numbers Math 10 Ms. McGrath

Important terms – Recall Power An expression in the form a^n, where a is the base and n is the exponent; it represents a product of equal factors. Example: 4 x 4 x 4 can be written 4^3.

Important terms – Recall Factor To factor means to write as a product. Example: 20 = 2 x 2 x 5

Important terms – Recall Multiples The product of a given number and a natural number. Example: some multiples of 8 are 8, 16, 24

Important terms – Recall Prime number A whole number with exactly two factors, itself and 1. Example: 2, 3, 5, 7, 11, 17, 19, 29, 31 and 43

Important terms – Recall Prime factorization Is a natural number written as a product of its prime factors.

Prime factorization Write the prime factorization of 3300.

Prime factorization Now you try 2646.

Important terms – Recall Greatest common factor Of two or more numbers is the greatest factor the numbers have in common. Example: 5 is the GCF of 10 and 15

Greatest common factor Determine the greatest common factor of 138 and 198.

Greatest common factor Now you try 126 and 144.

Important terms – Recall Least common multiple Is the least number that is divisible by each number. Example: the LCM of 12 and 21 is 84

Least common multiple Determine the least common multiple of 18, 20, 30.

Least common multiple Now you try 28, 42 and 63.

Practice You try: page 140 #3 – 13 When complete see Example 4 on page 138