Math 402
CHAPTER 3 TEST
FALL 2012
Find five multiples of the number.
1) 278
278 1 = 278
278 2 = 556
278 3 = 834
278 4 = 1112
278 5 = 1390
Using the divisibility rules, determine whether the number is divisible by 6. Explain how you determined your
answer.
2) 23,180
2 + 3 + 1 8 +0 = 14
no because the sum of the digits is not a mu.tiple of 3.
Using the divisibility rules, determine whether the number is divisible by 4. Explain how you determined your
answer.
3) 36,354
No, because 54 is not a multiple of 4.
Using the divisibility rules, determine whether the number is divisible by 9. Explain how you determined your
answer.
4) 119,939
1+1+9+9+3+3 = 32
no, because 32 is not a multiple of 9.
Using the divisibility rules, determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9 and /or 10.
5) 14,673
2 - no
3- yes
4 - no
5 - no
6 - no
8 - no
9 - no
10 - no
1+4+6+7+3 = 21
Find all the factors of the number.
6) 1056: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
There were 24 factors. If you found 12, you received full credit. If you found more, then you earned extra
credit.
Determine whether the number is prime, composite, or neither. Explain how you determined your answer.
7) 133
composite because 133 has more than 2 factors.
Find the prime factorization of the number.
8) 2079
3x3x3x7x11
Provide an appropriate response.
9) Give an example of a number that is not prime and explain why it is not prime.
0 or any negative number because it is not a natural number.
1 because it only has one factor.
any fraction because it is not a natural number.
Write a fraction to describe the shaded part.
10)
5
3
Simplify, if possible.
11 - - 2 2
11)
-2 4 - 3 - 7 2
11 - 4
16 - - 4 2
7
16 - 4 2
7
16 - 16
7
0
undefined
12)
198x 3 yz 2
- 650xyz 5
-
2·3·3·11·x·x·x·y·z·z
99x 2
=2·5·5·13·x·y·z·z·z·z·z
325z 3
13) - 27g ·
51g
12
- 3·3·3·g ·
-
14)
3·7·g
2·2·3
459g2
4
385
35xy3
·
245xz
-121y
5·7·11
5·7·x·y·y·y
·
5·7·7·x·z
- 11·11·y
-
15) -
-
5y2
11z
216p3q
÷ ( - 44p 2q2)
51pq
2·2·2·3·3·3·p·p·p·q
1
·
3·17·p·q
- 2·2·11·p·p·q·q
18
187q2
16)
124 mn 2
64n
÷
-192mn 381 m
124 mn 2 381 m
·
-192mn
64n
2·2·31·m·n·n
3·127m
·
2·2·2·2·2·2·3·m·n 2·2·2·2·2·2·n
-
3937m
1024