2-4 Prime Factorization/GCF AB
2⁴×7
112
2²×29
116
3²×13
117
2²×3
12
GCF of 24 and 36
12
2³×3×5
120
11²
121
2²×31
124
5³
125
2×3²×7
126
2⁷
128
2²×3×11
132
3³×5
135
2³×17
136
2×7
14
GCF of 14, 28 and 56
14
2²×5×7
140
2×71
142
2⁴×3²
144
3×7²
147
2²×37
148
2×3×5²
150
2³×19
152
2⁴
16
2×3²
18
Only even prime number
2
Prime factorization of 8
2 x 2 x 2
Write the prime factorization for 40
2 x 2 x 2 x 5
Prime factorization of 36.
2 x 2 x 3 x 3
Write the prime factorization for 110
2 x 5 x 11
2²×5
20
LCM of 25 and 40
200
3³
27
2²×7
28
40
2x2x2x5 is the prime factorization of __?
56
2x2x2x7 is the prime factorization of __?
60
2x2x3x5 is the prime factorization of __?
42
2x3x7 is the prime factorization of __?
590
2x5x59 is the prime factorization of __?
Prime factorization of 54 in exponential form.
3 ^3 x 2
Write the prime factorization for 93
3 x 31
2×3×5
30
2⁵
32
2²×3²
36
99
3x3x11 is the prime factorization of __?
45
3x3x5 is the prime factorization of __?
105
3x5x7 is the prime factorization of __?
2³×5
40
2²×11
44
3²×5
45
2⁴×3
48
7²
49
GCF of 10 and 55
5
2×5²
50
2²×13
52
2×3³
54
2³×7
56
2²×3×5
60
3²×7
63
2⁶
64
2²×17
68
GCF of 7 and 28
7
Prime factorization of 56
7 x 2 x 2 x 2
2³×3²
72
3×5²
75
2²×19
76
2³
8
GCF of 88 and 64
8
2⁴×5
80
3⁴
81
2²×3×7
84
2³×11
88
3²
9
2×3²×5
90
2²×23
92
2⁵×3
96
2×7²
98
3²×11
99
1 and itself
A Prime Number is a number whose only factors are ?
Factor
A number that goes into another number.
Prime Number
A number that has exactly two factors.
Composite Number
A number, (positive integer), greater than one that is not a prime number is called a ________ ________ .
2 × 5 × 5
Prime factors of 50
2 × 3
Prime factors of 6
2 × 2 × 2
Prime factors of 8
3 × 3
Prime factors of 9
Greatest Common Factor
The largest factor shared by 2 or more numbers
Factors
The numbers you multiply together to get a product.
Prime Factorization
When a number is written as a product of prime factors. Each number has its own prime factorization.
5
Which prime factor of 125 is missing? 5x5x__
2
Which prime factor of 16 is missing? 2x2x2x__
5
Which prime factor of 20 is missing? 2x2x__
3
Which prime factor of 24 is missing? 2x2x2x__
41
Which prime factor of 410 is missing? 2x5x__
2x2x5x5
Write the prime factorization of 100 (no spaces between factors and 'x.')
2x3x5x5
Write the prime factorization of 150 (no spaces between factors and 'x.')
2x5x23
Write the prime factorization of 230 (no spaces between factors and 'x.')
2x5x5x5
Write the prime factorization of 250 (no spaces between factors and 'x.')
2x5x29
Write the prime factorization of 290 (no spaces between factors and 'x.')
2x3x5
Write the prime factorization of 30 (no spaces between factors and 'x.')
2x2x2x2x2
Write the prime factorization of 32 (no spaces between factors and 'x.')
2x17
Write the prime factorization of 34 (no spaces between factors and 'x.')
2x2x3x3
Write the prime factorization of 36 (no spaces between factors and 'x.')
3x13
Write the prime factorization of 39 (no spaces between factors and 'x.')
2x2x2x2x3
Write the prime factorization of 48 (no spaces between factors and 'x.')
3x19
Write the prime factorization of 57 (no spaces between factors and 'x.')
2x3
Write the prime factorization of 6 (no spaces between factors and 'x.')
3x3x7
Write the prime factorization of 63 (no spaces between factors and 'x.')
5x13
Write the prime factorization of 65 (no spaces between factors and 'x.')
2x5x7
Write the prime factorization of 70 (no spaces between factors and 'x.')
3x29
Write the prime factorization of 87 (no spaces between factors and 'x.')
3x3
Write the prime factorization of 9 (no spaces between factors and 'x.')
3x31
Write the prime factorization of 93 (no spaces between factors and 'x.')
8
You want to group dogs for treats so that there are the same number of dogs in each group. If there are 40 dogs, how many groups are possible?
9
You want to have an equal number of ballon bouquets. You have 27 red balloons, 36 yellow balloons, and 18 green balloons. What is the greatest number of balloon bouquets you can make so that all the bouquets are identical?
A number is either prime or _______.
composite
All the factors of 24
1,2,3,4,6,8,12,24
2²×5²
100
2³×13
104
2²×3³
108
How to find the Greatest Common Factor
Find the prime factorization of all numbers. Find the common prime factors from all numbers. Only use numbers that match from all prime factorizations. Multiply the common prime factors to find he GCF.
2 × 5
Prime factors of 10
2 × 2 × 3
Prime factors of 12
2 × 7
Prime factors of 14
3 × 5
Prime factors of 15
2 × 2 × 2 × 2
Prime factors of 16
2 × 3 × 3
Prime factors of 18
2 × 2 × 5
Prime factors of 20
3 × 7
Prime factors of 21
2 × 11
Prime factors of 22
2 × 2 × 2 × 3
Prime factors of 24
5 × 5
Prime factors of 25
2 × 13
Prime factors of 26
3 × 3 × 3
Prime factors of 27
2 × 2 × 7
Prime factors of 28
2 × 3 × 5
Prime factors of 30
2 × 2 × 2 × 2 × 2
Prime factors of 32
3 × 11
Prime factors of 33
2 × 17
Prime factors of 34
5 × 7
Prime factors of 35
2 × 2 × 3 × 3
Prime factors of 36
2 × 19
Prime factors of 38
3 × 13
Prime factors of 39
2 × 2
Prime factors of 4
2 × 2 × 2 × 5
Prime factors of 40
2 × 3 × 7
Prime factors of 42
2 × 2 × 11
Prime factors of 44
3 × 3 × 5
Prime factors of 45
2 × 23
Prime factors of 46
2 × 2 × 2 × 2 × 3
Prime factors of 48
7 × 7
Prime factors of 49