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Unit 1 Vocabulary/Rules. Lesson 1. A number is divisible by 2 if. It is even (ends 0, 2, 4, 6, or 8). 1,23 4 9 8 45 6 1,592,34 2. RULE. Examples. 2 is the ONLY even prime #. A number is divisible by 3 if. The sum of the digits is divisible by 3. 234 2+3+4=9
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Unit 1 Vocabulary/Rules Lesson 1
A number is divisible by 2 if • It is even (ends 0, 2, 4, 6, or 8) • 1,234 • 98 • 456 • 1,592,342 RULE Examples 2 is the ONLY even prime #
A number is divisible by 3 if • The sum of the digits is divisible by 3 • 234 2+3+4=9 9 is divisible by 3 so 234 is divisible by 3 RULE Examples
A number is divisible by 4 if • The last 2 digits form a number divisible by 4 • 6,528 28 is divisible by 4 so 6,528 is divisible by 4 RULE Examples
A number is divisible by 5 if • It ends with 0 or 5 • 935 • 1,340 • 2,908,675 RULE Examples
A number is divisible by 6 if • It is divisible by 2 and 3 • 234 Ends 4 so divisible by 2 2+3+4=9 9 is divisible by 3 so 234 is divisible by 3 • Divisible by 2 and 3 so divisible by 6 RULE Examples
A number is divisible by 9 if • The sum of the digits is divisible by 9 • 135 1+3+5=9 9 is divisible by 9 so 135 is divisible by 9 RULE Examples
A number is divisible by 10 if • It ends with 0 • 90 • 1,234,560 • 250 • 4,350 RULE Examples
Even • Ends 0, 2, 4, 6, or 8 • 1,234 • 98 • 456 • 1,592,342 Definition Examples
Odd • Ends 1, 3, 5, 7, or 9 • 1,243 • 89 • 465 • 1,592,423 Definition Examples
Divisible • Can be divided by with no remainder • 45 is divisible by 5 • 36 is divisible by2 • 320 is divisible by 10 Definition Examples
Composite • Has more than 2 factors • 12 1 X 12 2 X 6 3 X 4 Definition Examples
Prime • Has exactly 2 factors (1 X itself) • 29 1 X 29 • 97 1 X 97 Definition Examples
Factor • the integers (numbers) multiplied to get a product • 3 X 4=12 factor factor product Definition Examples
Exponent • Number written as a power that tells how many base numbers are being multiplied • 43 4X4X4=64 exponent Base # Definition Examples
Prime Factorization • Factoring a number until all factors are prime • 12 12 = 2 X 2 X 3 3 4 2 2 Definition Examples
Fundamental Theorem of Arithmetic Any integer (number) greater than 1 can be written as a unique product using only prime numbers. (Numbers greater than 1can be factored using prime factorization)
Greatest Common Factor (GCF) • Largest factor 2 or more numbers have in common • 6 1X6 2X3 • 9 1X9 3X3 3 is the GCF Definition Examples
Multiple • Product of a given whole number and an integer • Multiples of 3 • 3,6,9,12… 3X1, 3X2, 3X3, 3X4… Definition Examples
Least Common Multiple (LCM) • Smallest multiple two or more numbers have in common • 4 4,8,12 • 6 6,12 • 12 is the LCM Definition Examples
Decompose • Break into smaller parts • 25 + 37 (2X10) + 5 + (3 X10) + 7 • 12 2 x 2 x 3 Definition Examples