Number Patterns and Fractions

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Number Patterns and Fractions
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Factors Numbers that multiply to equal another
number

• 2(3) 6 so 2 and 3 are factors of 6

List the factors of 24
1,2,3,4,6,8,12,24
1,2,3,4,6,12
List the factors of 12
1,2,4,8
List the factors of 8
1,2,4
List the factors of 4
1,3
List the factors of 3
List the factors of 2
1,2
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A number is divisible by

• 2 if the number is even
• 3 if the sum of the digits is divisible by 3
• 5 if the last digit is 0 or 5
• 6 if it is divisible by both 2 and 3
• 9 if it the sum of the digits is divisible by 9
• 10 if the last digit is 0

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Prime Numbers Numbers greater than 1 that have
only 2 factors 1 and itself.

• 2,3,5,7,11,13,17,19,23,29,31,37,41,47,53,59,61,67,
  71,73,79,83,89,97

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Composite Numbers have more than 2 factors

• 0 and 1 are neither prime nor composite
• 2 is the only even prime number

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Prime factorizations Prime numbers multiplied to
equal a composite number

• 54
• 9 x 6
• 3 x 3 x 3 x 2 33 x 2

75
25 x 3
5 x 5 x 3 52 x 3
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Write the prime factorization for

• 28 2 x 2 x 7 22 x 7
• 55 5 x 11
• 82 2 x 41
• 96 2 x 2 x 2 x 2 x 2 x 3 25 x 3

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Monomial a number, a variable or a product of a
number and one or more variables ex 15a3bc2
To factor a monomial means to write the monomial
as a product of its factors

• 12x2y 2 2 3 x x y
• 3mn 3 m n
• 18t2 2 3 3 t t
• 14x2y3 2 7 x x y y y
• 54w3z4 2 3 3 3 w w w z z z z