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**Prime Factorization (Factor Trees) Greatest Common Factor**

Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules

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**Divisibilty Rules Number It is divisible if… 2 A number ends in**

Examples Examples that to support do not work. 2 A number ends in 0, 2, 4, 6, 8 10, 12, , 17, 79 36, 98 3 The sum of the digits is divisible by 3 3, 6, 12, , 17, 23 4 If the last two digits are divisible by 4 or the number ends in 00. 44, 100, , 77, 38 120, , 14 5 If the number ends in 5 or 0. 10, 25, 55, , 77, 88 6 If the number is divisible by 2 and 3. 6, 12, 24, , 44, 50 9 If the sum of the digits is divisible by 9. 9, 18, 189, , 980, 98 10 If the number ends in 0. 10, 20, 30, , 38, 88 Divisibilty Rules

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Prime Numbers A PRIME number is a number that has only two factors: 1 and itself. Example: 2: only 1 and 2 will go into 2 3: only 1 and 3 will go into 3 5: only 1 and 5 will go into 5 Other prime numbers are : 7, 11, 13, 17, 19, 23, and many more!

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**Greatest common Factor (GCF)**

To find the GCF do the following: Step 1: List all the factors for each number Step 2: Find the largest factor these two numbers have in common Example: Find the GCF for 60 and 72 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 The largest number 60 and 72 have in common is 12, therefore the GCF = 12

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Least Common Multiple To find the least common multiple do the following: Step 1: List the multiples for each number Step 2: Find the smallest number they have in common other than zero. Example: Find the LCM for 7 and 5 7: 0, 7, 14, 21, 28, 35, 42, … 5: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, …

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Quiz: Factors List the factors each number. Then check your answer by clicking the “CHECK” button. List the factors of 8: List the factors of 10: List the factors of 4: List the factors of 20: List the factors of 16: List the factors of 25: List the factors of 100: List the factors of 3: REVIEW CHECK

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Answers: Factor Quiz List the factors each number. Then check your answer by clicking the “CHECK” button. List the factors of 8: 1, 2, 4, 8 List the factors of 10: 1, 2, 5, 10 List the factors of 4: 1, 2, 4 List the factors of 20: 1, 2, 4, 5, 10, 20 List the factors of 16: 1, 2, 4, 8, 16 List the factors of 25: 1, 5, 25 List the factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 List the factors of 3: 1, 3 REVIEW Back to Quiz

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Composite Numbers Composite numbers are numbers that have more than two factors. Example: 4: 1, 2 and 4 go into 4 6: 1, 2 , 3 and 6 go into 6 8: 1, 2, 4, and 8 go into 8.

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QUIZ Factors Factors are numbers that go into another number. To find the factors of a number, find the pairs. Example: Factors of 20 1 x 20 2 x 10 4 x 5 20: 1, 2, 4, 5, 10, 20 Then write them in order from least to greatest! Then write them in order from least to greatest! Factors of 50: 1 x 50 2 x 25 5 x 5 50: 1, 2, 5, 25, 50 Remember: A factor will never be larger than the number itself.

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**Prime Factorization (Factor Trees)**

QUIZ Prime Factorization (Factor Trees) Factor Trees are used to find the PRIME FACTORIZATION of a number. 70 Circle the number if it is prime Prime Factorization of 70 is: 2 x 5 x 7

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**Multiples are infinite,**

QUIZ Multiples Multiples are all the numbers a number will go into. Multiples are infinite! Examples: Multiples of : 5: 0, 5, 10, 15, 20, … 3: 0, 3, 6, 9, 12, 15, 18, … 20: 0, 20, 40, 60, … 0 is the first multiple of every number. Multiples are infinite, so you must end each line with … to show infinity.

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**Quiz: Prime Factorization**

List the prime factorization for each number. Then check your answer by clicking the “CHECK” button. 72 50 100 90 20 15 CHECK REVIEW

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**Answers: Prime Factorization Quiz**

72: x 50: x 100: x 90: x x 20: x 15: x 3 2 2 2 2 2 2 Back To The Quiz REVIEW

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Quiz: Multiples List the multiples for each number. Then check your answer by clicking the “CHECK” button. List the multiples of 8: List the multiples of 10: List the multiples of 4: List the multiples of 20: List the multiples of 16: List the multiples of 25: List the multiples of 100: List the multiples of 3: CHECK REVIEW

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**Answers: Multiple Quiz**

List the multiples of 8: 0, 8, 16, 24, 32, … List the multiples of 10: 0, 10, 20, 30, 40,… List the multiples of 4: 0, 4, 8, 12, 16, … List the multiples of 20: 0, 20, 40, 60, 80, … List the multiples of 16: 0, 16, 32, 48, 64, … List the multiples of 25: 0, 25, 50, 75, 100, … List the multiples of 100: 0, 100, 200, 300, 400, … List the multiples of 3: 0, 3, 6, 9, 12, … BACK TO THE QUIZ REVIEW

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