Download Grade 4 Properties of Whole Numbers

ID : us-4-Properties-of-Whole-Numbers [1]
Grade 4
Properties of Whole Numbers
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Answer t he quest ions
(1)
T he product of two numbers is 192. If their sum is 32, f ind the numbers.
Choose correct answer(s) f rom given choice
(2)
(3)
T he numbers which are not divisible by 2 are called :
a. Prime Numbers
b. Even Numbers
c. Positive Numbers
d. Odd Numbers
If the sum of all f actors of the number including 1 and the number itself is greater than twice the
number, the number is called :
a. Abundant Number
b. Def icient Number
c. Irrational Number
d. Perf ect Number
(4) Check all the numbers that are even.
(5)
a. 3950985
b. 94764850
c. 593410
d. 6000591
T he numbers which have any of 0, 2, 4, 6 & 8 at ones place are called __________ .
a. Even Numbers
b. Odd Numbers
c. Prime Numbers
d. Positive Numbers
Fill in t he blanks
(6)
(7)
(8)
(9)
(10)
(11)
T he largest f our digit number which is divisible by 2, 3, 4, 5, 6 is
T he largest 3 digit odd number is
.
.
T he f irst perf ect number is
T he largest 4 digit even number is
.
246 X 0 =
T he smallest 4 digit even number is
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.
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ID : us-4-Properties-of-Whole-Numbers [2]
(12)
(13)
(14)
(15)
T he smallest 4 digit odd number is
Prime numbers have only
T he f irst 3 perf ect numbers are
T he smallest multiple of 2502 is
.
f actors.
,
, and
.
.
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ID : us-4-Properties-of-Whole-Numbers [3]
Answers
(1)
24, 8
(2)
d. Odd Numbers
(3)
a. Abundant Number
(4) b. 94764850 c. 593410
(5)
(6)
a. Even Numbers
9960
Step 1
T he number which is divisible by 2,3,4,5,6 will also be divisible by LCM of (2,3,4,5,6).
Step 2
LCM (2,34,5,6) = 60
Step 3
Largest f our digit number = 9999
Step 4
Lets divide 9999 by 60 and f ind the remainder,
Remainder af ter dividing 9999 by 60 is 39.
Step 5
T heref ore largest number which is divisible by these numbers should be 39 less than 9999.
T heref ore answer is 9999 - 39 = 9960
(7)
(8)
(9)
(10)
(11)
(12)
(13)
999
6
9998
0
1000
1001
2
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ID : us-4-Properties-of-Whole-Numbers [4]
(14)
6
28
496
Step 1
A perf ect number is a positive integer that is equal to the sum of its proper positive
divisors.
Step 2
T his property is satisf ied by 6, 28 and 496.
Step 3
Proper divisors of 6 are 1, 2, 3.
T heir sum = 1 + 2 + 3
= 6.
Since 6 = 6,
6 is a perf ect number.
Step 4
Proper divisors of 28 are 1, 2, 4, 7, 14.
T heir sum = 1 + 2 + 4 + 7 + 14
= 28.
Since 28 = 28,
28 is a perf ect number.
Step 5
Proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248.
T heir sum = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
= 496.
Since 496 = 496,
496 is a perf ect number.
Step 6
T hus the f irst 3 perf ect numbers are 6, 28 and 496.
(15)
2502
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