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Write factor pairs for each number. Use divisibility tests to help you!. 40. 72. 57. 1 x 40. 1 x 72. 1 x 57. 2 x 20. 2 x 36. 3 x 19. 4 x 10. 3 x 24. 5 x 8. 4 x 18. 6 x 12. 8 x 9. Write factor pairs for each number. Use divisibility tests to help you!. 12. 20. 37. 1 x 12. - PowerPoint PPT Presentation
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Write factor pairs for each number. Use divisibility tests to help you!
40 72 571 x 402 x 204 x 105 x 8
1 x 722 x 363 x 244 x 186 x 12
1 x 573 x 19
8 x 9
Write factor pairs for each number. Use divisibility tests to help you!
12 201 x 122 x 63 x 4
1 x 202 x 104 x 5
1 x 3737
PRIME
PRIME NUMBERS
A whole number with exactly 2 factors, 1 and itself
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
Make a prime factor tree for each number.
24 60
4 6x
2 x 2 2 x 3x
6 x 10
2 x 3 2 x 5x
24 = 2 x 2 x 2 x 324 = 23 x 3
60 = 2 x 2 x 3 x 560 = 22 x 3 x 5
You can use prime factorizations to find the GCF or to simplify fractions.
24 60
4 6x
2 x 2 2 x 3x
6 x 10
2 x 3 2 x 5x
2460
2 x 2 x 2 x 3
2 x 2 x 3 x 5
25
GCF
2 x 2 x 3 = 12
Make a prime factor tree for each number to find the GCF.
36 54
6 6x
2 x 3 2 x 3x
6 x 9
2 x 3 3 x 3x
36 = 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
GCF
2 x 3 x 3 = 18
Make prime factor trees for each number. Use the prime factorizations to find the GCF and to simplify the fraction.
40 56
4 10x
2 x 2 2 x 5x
2 x 28
2 x 2
4 x 7
4056
2 x 2 x 2 x 5
2 x 2 x 2 x 7
57 GCF
2 x 2 x 2 = 8
= =
List the factors of 15.
151 x 153 x 5
List the multiples of 15.
15, 30, 45, 60, 75, …
List the first 5 multiples of each number.
12 12, 24, 36, 48, 60
16, 32, 48, 64, 8016
24 24, 48, 72, 96, 120
Use the LCM to get a common denominator.
12 12, 24, 36, 48, 60
16, 32, 48, 64, 8016
24 24, 48, 72, 96, 120
7 12
5 16
48
48
=
=
28
15
Use the LCM to get a common denominator.
12 12, 24, 36, 48, 60
16, 32, 48, 64, 8016
24 24, 48, 72, 96, 120 9 24
5 16
48
48
=
=
18
15
Use the LCM to get a common denominator.
12 12, 24, 36, 48, 60
16, 32, 48, 64, 8016
24 24, 48, 72, 96, 120
5 12
11 24
24
24
=
=
10
11
List the factors of 32.
321 x 32
2 x 16
4 x 8
Make a prime factor tree for 32.
32 32
4 8x
2 x 2 2 x 4
2 x 16
2 x 2
4 x 4
32 = 2 x 2 x 2 x 2 x 2
32 = 25
2 x 2 2 x 2x
Use the prime factorization to simplify
12 32
2 6x
2 x 3
2 x 16
2 x 2
4 x 4
12 = 2 x 2 x 3
2 x 2x
12 32
32 = 2 x 2 x 2 x 2 x 23 8
What is the GCF?
4
List factor pairs to find the GCF.
18 301 x 182 x 93 x 6
1 x 302 x 153 x 105 x 6
Use the GCF to simplify: 18 30
÷ 6÷ 6
GCF = 6
3 10
Write the expressions using exponents.
2 x 3 x 3 x 5 x 5 =
5 x 5 x 5 x 7 x 7 =
2 x 32 x 52
53 x 72
Find the LCM.
8 8, 16, 24, 32, 40
10, 20, 30, 4010
3 8
4 10
40
40
=
=
15
16
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