Math 402
CHAPTER 3 TEST
FALL 2010
Find any five multiples of the number.
1) 296
296 ×
296 ×
296 ×
296 ×
296 ×
1 = 296
2 = 592
3 = 888
4 = 1184
5 = 1480
Determine whether the first number is divisible by the second number using the divisibility rules. Explain how you
determined your answer.
2) 1264; 6
1 + 2 + 6 +4 = 13
1264 is not divisible by 6 because it is not divisible by 3. In order to be divisible by three the sum of the digits
must sum to a multiple of three but these digits sum to 13 which is not a multiple of three.
Using the divisibility rules, determine whether the number is divisible by 2, 3, 5, 6, 9, and / or 10. Explain how you
determined your answer for EACH NUMBER.
3) 32,660
Yes, this number is divisible by 2 because the ones' digit is 0.
3 + 2 + 6 + 6 + 0 = 17, therefore this number is not divisible by three because the sum of the digits is not a
multiple of three.
Yes, this number is divisible by 5 because the ones' digit is 0.
No, this number is not divisible by 6 because it is not divisible by three.
No, this number isnot divisible by 9 because the sum of the digits is not a multiple of 9.
Yes, this number is 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
Determine whether the number is prime, composite, or neither. Explain how you determined your answer.
5) 91
This number is composite because it has more than two factors.
1
Write a fraction to describe the shaded part.
6)
22
6
Simplify, if possible.
78
78
=
= undefined
7)
13 - 13
0
8)
198xy
2· 3 · 3 ·11 · x · y
11x
==2·3·3·3·3·y·z
9z
- 162yz
Multiply and simplify.
5
27 5
27 5
9 5
45
=·
=·
=- · =9) - 27 ·
12
1 12
1 12
1 4
4
10)
385
35xy3
5 · 7 · 11
5 ·7·x·y ·y· y
5 · 7 · 11
5 ·7·x·y·y· y
5y2
·
=
·
=
·
=245xz
-121y 5 · 7 · 7 ·x · z
- 11 · 11 ·y
5·7·7·x·z
- 11 · 11 ·y
11z
Divide and simplify.
16
16
1
16
1
4
÷ ( - 4) = ·(- )=·(- )=
11) 51
51
4
51
4
51
2