Number Theory

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Order of Operation

FactorsPrime

OrComposite

10 Point

20 Points

30 Points

40 Points

50 Points

10 Point 10 Point 10 Point 10 Point

20 Points 20 Points 20 Points 20 Points

30 Points

40 Points

50 Points

30 Points 30 Points 30 Points

40 Points 40 Points 40 Points

50 Points 50 Points 50 Points

Divisibility Rules

Exponents

What is the exponent in 512?

2

Write 9 *9*9*9 in exponential

notation.

94

Write 163 as repeated

multiplication.

16 * 16 * 16

Solve 106.

1,000,000

Solve 83.

512

What steps do we follow in order of

operation problems?

P-Parentheses

E-Exponents

MD-Multiply/Divide

AS-Add/Subtract

Evaluate.

9 + 12 * 2

33

Evaluate.

7 + (12 * 3) ÷ 6

13

Evaluate.

33 + 8 -16

19

Evaluate.

24 ÷ (9 – 6) * 32 - 10

62

Tell whether 462 is divisible by 2, 3, 4

and/or 5.

2 and 3

Is 508 divisible by 9?

No

Is 480 divisible by 4?

Yes

Is 189 divisible by 6?

No

What number between 80 and 100 is divisible by both

5 and 6?

90

What are the factors of 19?

1 * 19

What are the factors of 16?

1 * 16

2 *8

4 * 4

What are the factors of 24?

1 * 24

2 * 12

3* 8

4 *6

What are the factors of 75?

1 * 75

3 * 25

5 * 15

What are the factors of 42?

1 * 42

2 * 21

3 * 14

6 * 7

45

Composite

19

Prime

2

Prime

1

Unique

908

Composite

Make your wager

What is the greatest four-digit

number that is divisible by 1, 2, 3,

and 4?

9,996