DIVISIBILITY RULES

YOUR FOCUS

GPS Standard: M6N1 Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problemsa.Apply factors and multiplesEU: All natural numbers greater than one are either prime or can be written as a unique product of prime factors.EQ: How are factors and multiples related to multiplication and division?Vocabulary: Divisibility

Divisibility

A number is divisible by another number if the quotient is a whole number with no remainder.

42 6 = 7 Quotient

Thus, 42 is divisible by 6

Divisibility RulesA Number is Divisible by ____ if…. Yes No

2 The last digit is even (0, 2, 4, 6, 8…) 3,978 4,975

3 The sum of the digits is divisible by 3 315 139

4 The last two digits form a number divisible by 4

8,512 7,518

5 The last digit is a 0 or 5 1,975 1,978

6 The number is divisible by both 2 and 3 48 20

9 The sum of the digits is divisible by 9 711 93

10 The last digit is a 0 1,590 1,536