Prime Factorization Homework Sheet



Prime Factorization Homework Sheet Name

Academic Math 7 Period

Chapter Four Date

I. Use your divisibility rules and times table facts to determine whether each given

number is prime, composite, or neither.

Check the appropriate block for each given number.

If you check composite, you must also state a third factor other than

the given number and one that makes it composite for you.

|Problem |Given Number |Prime |Composite |Your Third Factor- If Composite |Neither |

| | | | | | |

|A |85 | | | | |

| | | | | | |

|B |423 | | | | |

| | | | | | |

|C |0 | | | | |

| | | | | | |

|D |536 | | | | |

| | | | | | |

|E |47 | | | | |

| | | | | | |

|F |333 | | | | |

| | | | | | |

|G |642 | | | | |

| | | | | | |

|H |39 | | | | |

| | | | | | |

|I |2,193 | | | | |

| | | | | | |

|J |11,444 | | | | |

II. Use a factor tree to determine the prime factorization in exponential form

starting with the smallest prime factor and ending with the largest prime

factor. Write your final answer in the blank provided. (the rectangle answer)

If the given number is a prime, write the given number in the blank provided.

78 144

560 96

III. Use repeated division (the ladder method) to determine the prime factorization in exponential form starting with the smallest prime factor

and ending with the largest prime factor.

Write your final answer in the blank provided. (the rectangle answer)

If the given number is a prime, write the given number in the blank provided.

420 126

924 175

IV. Find the missing prime factors: 22 ● 52 ● ____ ● ____ = 7700

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