Math 402
CHAPTER 3 TEST
SPRING 2012
Find any five multiples of the number.
1) 148
148
148
148
148
148
1=
2=
3=
4=
5=
148
296
444
592
740
Determine whether the first number is divisible by the second number using the divisibility rules; NOT DIVISION.
Explain how you determined your answer.
2) 4732; 6
4 + 7 + 3 + 2 = 16
4732 is not divisible by 6 because 4732 must also be divisible by 3 and it is not because the sum of the digits is
16 which is not a multiple of 3.
Using the divisibility rules (NOT DIVISION), determine whether the number is divisible by 2, 3, 5, 6, 9, and / or 10.
Explain how you determined your answer for EACH NUMBER.
( 30 POINTS)
3) 151,620
1 + 5 + 1 + 6 + 2 + 0 = 15
151,620 is divisible by 2 because the one's digit is 0.
151,620 is divisible by 3 becaus ethe sum of the digits, 15, is s a multiple of 3.
151,620is divisible by 5 because the one's digit is 0.
151,620 is NOT divisible by 9 because the sum of the digits is not a multiple of 9.
151,620is divisible by 10 because the one's digit is 0.
Find all the factors of the number.
4) 156
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Find the prime factorization of the number.
5) 819 = 3 2 · 7 · 13
Determine whether the number is prime, composite, or neither. Explain how you determined your answer. If it is
composite, find the prime factorization.
6) 143
Composite because it has more that 2 factors.
143 = 11 · 13
1
Write a fraction to describe the shaded part.
7)
7
4
Simplify, if possible.
- 92 + 92
0
=
=0
8)
- 74 - 24
- 98
9)
198y
2 · 3 ·3 ·11 ·y
1
==2 ·2 ·3 ·3 ·11 ·y
2
- 396y
Multiply and simplify.
51
2 · 3 ·3 · x
3 · 17
102x
=·
=
10) - 18x ·
45y
1
3
3
5
y
5y
- · · ·
11)
231x
77xz
3 · 7 · 11 · x
7 · 11 · x · z
7x
·
=
·
=847xz
7 · 11 · 11 · x · z
3y
-9y
- 3·3·y
Divide and simplify.
24
24
1
2·2·2·3
1
2
÷ ( - 4) = ·
=·
=
12) 171
171 - 4
3 · 3 · 19
- 2 · 2 57
13)
30mn 54 m 30mn 90 2 · 3 · 5 · m · n
2·3·3·5
10
÷
=
·
=
·
=90
2·3·3·3·m
3
-15n
-15n 54
-3·5·n
2