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LESSON 4-1. DIVISIBILITY. 4-1. Divisibility. Course 1. Warm Up 1. 20 2. 48 3. 16. Write each number as a product of two whole numbers in as many ways as possible. 1  20, 2  10, 4  5. 1  48, 2  24, 3  16, 4  12, 6  8. 1  16, 2  8, 4  4. 4-1. Divisibility. Course 1.

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lesson 4 1

LESSON 4-1

DIVISIBILITY

slide2

4-1

Divisibility

Course 1

Warm Up

1. 20

2. 48

3. 16

Write each number as a product of two whole numbers in as many ways as possible.

1  20, 2  10, 4  5

1  48, 2  24, 3  16, 4  12, 6  8

1  16, 2  8, 4  4

slide3

4-1

Divisibility

Course 1

Learn to use divisibility rules.

slide4

4-1

Divisibility

Course 1

Insert Lesson Title Here

Vocabulary

divisible

composite number

prime number

slide5

4-1

Divisibility

Course 1

A number is divisible by another number if the quotient is a whole number with no remainder.

42 ÷ 6 =

7

Quotient

slide6

4-1

Divisibility

Course 1

slide7

4-1

Divisibility

Course 1

Additional Example 1A: Checking Divisibility

Tell whether 462 is divisible by 2, 3, 4, and 5.

The last digit, 2, is even.

Divisible

The sum of the digits is 4 + 6 + 2 = 12. 12 is divisible by 3.

Divisible

Not divisible

The last two digits form the number 62. 62 is not divisible by 4.

Not divisible

The last digit is 2.

So 462 is divisible by 2 and 3.

slide8

4-1

Divisibility

Course 1

Additional Example 1B: Checking Divisibility

Tell whether 540 is divisible by 6, 9, and 10.

The number is divisible by both 2 and 3.

Divisible

The sum of the digits is 5 + 4 + 0 = 9. 9 is divisible by 9.

Divisible

The last digit is 0.

Divisible

So 540 is divisible by 6, 9, and 10.

slide9

4-1

Divisibility

Course 1

Any number greater than 1 is divisible by at least two numbers—1 and the number itself. Numbers that are divisible by more than two numbers are called composite numbers.

A prime number is divisible by only the numbers 1 and itself. For example, 11 is a prime number because it is divisible by only 1 and 11. The numbers 0 and 1 are neither prime nor composite.

slide10

4-1

Divisibility

Course 1

Click to see which numbers from 1 through 50 are prime.

slide11

4-1

Divisibility

Course 1

Additional Example 2: Identifying Prime and Composite Numbers

Tell whether each number is prime or composite.

A. 23

divisible by 1, 23

prime

B. 48

divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

composite

slide12

4-1

Divisibility

Course 1

Additional Example 2: Identifying Prime and Composite Numbers

Tell whether each number is prime or composite.

C. 31

divisible by 1, 31

prime

D. 18

divisible by 1, 2, 3, 6, 9, 18

composite

slide13

4-1

Divisibility

Course 1

Insert Lesson Title Here

Lesson Quiz

Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, and 10.

1. 256

2. 720

3. 615

Tell whether each number is prime or composite.

4. 47 5. 38

divisible by 2, 4

divisible by 2, 3, 4, 5, 6, 9, 10

divisible by 3, 5

composite

prime