Unit 4 Test

Factor

100

List the factors of 20. Use the "U"method.

1,2,3,4,10,20

200

Using the divisibility rules for 2,3,4,5,9, and 10 state which are factors of:

1147

None

300

Using the divisibility rules for 2,3,4,5,9, and 10 state which are factors of:

102,030

2,3,5,10

400

Give the prime factorization of 196.

2² x 7²

500

Give the prime factorization of 693.

3² x 7 x 11

Multiple

100

List the first 5 multiples of 31

0, 31, 62, 93, 124

200

List the first 5 multiples of 19.

0, 19, 38, 57, 76

300

If a number is a multiple of both 3 and 7, it must be a multiple of what other number? 

21

400

What number is a multiple of every whole number?

0

500

List the first 5 multiples of 1250.

0, 1250, 2500, 3750, 5000

Square Root

100

Sq Root 49

7

200

Sq Root 121

11

300

Sq Root 81 + Sq Root 144

20

400

Sq Root 360 + 40

20

500

Sq Root 625

25

GCF and LCM

100

Use the prime factorization method to find both the GCF and LCM of (360,160)

GCF = 40

LCM = 1,440

200

Use the prime factorization method to find both the GCF and LCM of (27, 51)

GCF = 3

LCM = 459

300

Use the prime factorization method to find both the GCF and LCM of (56, 196)

GCF = 28

LCM = 392

400

Use the prime factorization method to find both the GCF and LCM of (15, 29)

GCF = 1

LCM = 435

500

Use the prime factorization method to find both the GCF and LCM of (18, 24, 28)

GCF = 2

LCM = 504

Other

100

True or false: Any multiple of 2 is called an odd number.

FALSE, any multiple of 2 is called an even number.

200

Provide an explanation for why 1 is neither prime nor composite.

One only has one factor (itself). Therefore, it does not fit the characteristics of prime numbers (2 factors), nor the characteristics of composite numbers (more than 2 factors).

300

Provide an explanation for why the GCF of two numbers must be less than both numbers or equal to the smaller number.

Factors are numbers that multiply to result in a given number. Factors must be less than or equal to the number they are a factor of. Therefore, the GCF of two numbers has to be less than both numbers or equal to the smaller number.

400

Ella practices the piano every third day and she practices the trumpet every fifth day. She practiced both instruments on February 1st. What is the next day she will practice both instruments on the same day?

Since the LCM of 3 and 5 is 15, the next time she would practice both instruments on the same day would be 15 days later, or February 16th.

500

A candy bar producer puts a coupon for a free bar in every 80th bar and a coupon for two free bars every 180th bar. How often does the producer put both coupons in a single bar?

Every 720th bar