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**Prime Factorization Tricks!**

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1 ALL NUMBERS HAVE 1 AS A FACTOR!

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**2 Even numbers! Numbers ending in 0, 2, 4, 6, 8 Example: 1092843972**

2 is a factor!

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**3 When you add up the digits, the number is divisible by 3 Example:**

489 4+8+9=21 21/3=7 Therefore 3 is a factor of 489

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**4 If the last 2 digits are divisible by 4, then the whole number is!**

Example: 344 _44/4 =11 344 has 4 as a factor!

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**5 Always ends in 0 or 5 Example: 928420 _____0**

This number has 5 as a factor!

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6 If you already know the number has the factors 3 and 2, then it also has 6! Example: 336 __6= even number; 2 is a factor! 3+3+6=12 12/3=4; 3 is a factor! If 2 and 3 are factors, 6 is a factor!

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7 No special rule for 7s I guess you guys will just have to study them harder…

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**8 If the last 3 numbers are divisible by 8, then 8 is a factor!**

Example: 7168 _168/8=_21 This has a factor of 8!

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**9 When you add up the digits, the number is divisible by 9! Example:**

288 2+8+8=18 18/9=2 This number has a factor of 9!

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**10 Number that end in 0! Example: 29832740 _______0**

This number has a factor of 10!

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I HOPE THIS HELPS!

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