# SWBAT to use divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10

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SWBAT to use divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10

What is divisibility? Divisibility
If a number goes into another number, without a remainder 351 is divisible by 9 9 goes into 351, 39 times with no remainder

Divisibility Rules 2 3 4 5 6 8 9 10 it is an even number (ends in 0, 2, 4, 6, 8) the sum of its digits is divisible by 3 the last two digits form a number divisible by 4 it ends in a 0 or a 5 it is divisible by both 2 and 3 the last three digits form a number divisible by 8 the sum of its digits is divisible by 9 it ends in a 0

Examples 333 128 7,535 8,289 99,483 67,704 3,95_, by 10 17,84_, by 3 17,39_, by 5 27,1_8, by 6 37,6_3, by 9

Try These 128 2, 4, 8 9410 2, 5, 10 17,934 2, 3, 6 270,228 2, 3, 4, 6 243,05__; by 9 4 13,__12; by 8 and by 3 5 20,71___; by 4 2 or 6

Prime and Composite Numbers
SWBAT identify prime and composite numbers

Definitions Prime number Composite number
A whole number greater than 1 that has exactly two factors, itself and 1 Composite number A whole number greater than 1 that has more than two factors The numbers 0 and 1 are neither prime nor composite.

Examples Tell whether each number is prime, composite, or neither 24
35 2 9 19 21 1 10,011

Try These 81 41 51 37,311 neither Composite, divisible by 9 Prime
neither 81 Composite, divisible by 9 41 Prime 51 Composite, divisible by 3 37,311

Perfect Numbers A perfect number is the sum of all its factors, not including itself. 6 has factors of 1, 2, 3, and 6 If you add (all the factors, except for itself), you get 6 A perfect number?

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