Prime Factorization, GCF, and LCM
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
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
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.')
60
2x2x3x5 is the prime factorization of __?
590
2x5x59 is the prime factorization of __?
99
3x3x11 is the prime factorization of __?
105
3x5x7 is the prime factorization of __?
1 and itself
A Prime Number is a number whose only factors are ?
composite
A number is either prime or _______.
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 ________ ________ .
1, 2, 3, 4, 6, 8, 12, 24
All the factors of 24
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.
5
GCF of 10 and 55
12
GCF of 24 and 36
1
GCF of 7 and 29
8
GCF of 88 and 64
24
LCM of 12, 8, 24
150
LCM of 15, 10
30
LCM of 2, 6, 10
42
LCM of 3, 6, 7
28
LCM of 4, 14
10
LCM of 5, 10
15
LCM of 5, 3
40
LCM of 5, 8, 4
18
LCM of 6, 9
14
LCM of 7, 2
56
LCM of 7, 8
90
LCM of 9, 10
36
LCM of 9, 12
45
LCM of 9, 15
27
LCM of 9, 27
2
Only even prime number
2 x 2 x 3 x 3
Prime factorization of 36.
2 x 2 x 2 x 7
Prime factorization of 56
2 x 2 x 2
Prime factorization of 8
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
Greatest Common Factor
The largest factor shared by 2 or more numbers
Factors
The numbers you multiply together to get a product.
2 x 5 x 11
What is the prime factorization for 110
2 x 2 x 2 x 5
What is the prime factorization for 40
3 x 31
What is the prime factorization for 93
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.')
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.')
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?
