# Prime Factorization Match or Concentration by 3gz600u

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```									    Prime Factorization Match or Concentration

1. Students match a number to its prime
factorization.
2. Record the final answers on paper.
3. Solve related TAKS questions.

Or

Students might do the prime factorization of the
following numbers and then play Concentration.
30,45,60,90,100,120,135,144,189, 300
Name________________

Prime Factorization Recording Page
Prime Number: A whole number with exactly two different
factors: 1 and itself.

Prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Prime Number Song
Tune: Row, Row, Row Your Boat

A number with two factors, only itself and one,
Is what we call a prime number.
The smallest prime is 2.
I know my prime numbers that are less than 20.
2,3,4,7,11, 13, 17, and 19.

Use the cards to try to match the number to its prime factorization. Once you have made

_____1. 22 x 3 x 5                                                     A. 30

_____2. 2 x 32x 5                                                      B. 45

_____3. 22 x 52                                                        C. 60

_____4. 22 x 3 x 52                                                    D. 90

_____5. 2 x 3 x 5                                                      E. 100

_____6. 33 x 5                                                         F. 120

_____7. 33 x 7                                                         G. 135

_____8. 32 x 5                                                         H. 144

_____9. 24 x 32                                                        I. 189

_____10. 23 x 3 x 5                                                    J. 300
Prime Factorization on TAKS

Here is what prime factorization looks like on TAKS. If you know your prime numbers,
you can sometimes eliminate some answers because some of the factors are not prime.

Ex: Find the prime factorization of 45.
A. 3 x 15
B. 9 x 5
C. 32 x 5
D. 33 x 5
You should immediately eliminate choice A since 15 is not a prime factor. Eliminate B
because 9 is not a prime number.

Choice C and D cannot be immediately eliminated since the factors 3 and 5 are both
prime. Since 32x 5 = 3 x 3 x 5 = 9 x 5 = 45, choice C is correct. Choice D is incorrect
since 33 x 5 = 3 x 3 x 3 x 5 = 9 x 3 x 5 = 27 x 5 = 135.
1.

2.
3.

4.

5.
B.
A.

30          45
C.          D.

60          90
E.         F.

100         120
G.              H.

135         144
I.               J.

189         300
1.               2.

2                          2
2 x3x5            2x3x5
3.               4.

2   2         2            2
2 x5              2 x3x5
5.               6.

3
2x3x5                 3 x5
7.               8.

3                  2
3 x7                 3 x5
9.               10.

4   2          3
2 x3              2 x3x5

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