number theory review revised

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Factors,Multiples,

Powers & Roots

Prime factorsGCF/LCM

Order of Operation

PropertiesDivisibility

Rules

List the first 5 multiples of 12

12, 24, 36, 48, 60

List all the factors of 48

1, 2, 3, 4, 6, 8,612, 16, 24, 48

63 + √121

227

(√64 + √49)2

225

What is the square added to the product of

the square root of 81 and the square root of 64?

216

Prime factor 240 (answer in exponents)

24 • 3 • 5

Prime factor 8450

132 • 2 • 52

Find the GCF and LCM of 132 and 54

GCF = 6, LCM = 1188

Find the GCF and LCM of 50 and 147

GCF = 1, LCM = 7350

Find the GCF and LCM of 110 and 1001

Find the GCF and LCM of 294, 770, and

270 (PA)

GCF = 11, LCM = 10010

GCF = 2, LCM = 145,530

(53 – 23 • 2)

109

[200 • (6 + 3) – 102]

1700

(15 – 6 ÷ 3)2 • (22 + 3 •2)

1690

14 + 2(82 - 5 • 6)

82

[(52+33 ÷9) + (43–2•33)] – (29 – 42 +18 ÷3)

19

5 + (6 + 3) = (5 + 6) + 3

Associative Property

7 • 1 = 17

Inverse Property

(3 + 8) x (9 + 7) =(9 + 7) x (3 + 8)

Commutative Property

(12 +7) [19 – 10) = (12 + 7) 19 – (12 + 7) 10

Distributive Property

5 groups of 10 means the same as 5 groups

of 6 plus 5 groups of 4

Distributive Property

What is the divisibility rule for 4?

Check if the number formed by the last 2

digits is a multiple of 4.

Why is 357 not a prime number?

3 is a factor! (add the digits…)

2736 is divisible by _, _, _, and _

2, 3, 4, 6, and 9

Fill in the blank to make 4_75 divisible by

3 and 9

By 3: 2, 5, 8

By 9: 2

Fill in the blank to make 378_ divisible by

4 and 6

By 4: 0, 4, 8

By 6: 0, 6