Final Exam

Question 1

Divisibility rule of 2

Answer 1

any whole number that ends in 2, 4, 6, 7

Question 2

rule for 3

Answer 2

sums of the digits is divisible by 3

Question 3

rule for 4

Answer 3

if the last TWO digits of a whole number are divisible by 4

Question 4

rule for 5

Answer 4

a whole number that must end in a 5 or 0

Question 5

rule for 6

Answer 5

for a number to be divisible by 6, it must be divisible by 2 and 3

Question 6

rule for 7

Answer 6

-take last digit of the number and double it & then subtract that number from the rest until the number is 0 or divisible by 7

Question 7

rule for 8

Answer 7

if the last THREE digits of a number are divisible by 8

Question 8

rule for 9

Answer 8

see if the sum of the digits is divisible by 9

Question 9

rule for 10

Answer 9

• even and divisible by 5

- last number must be a 0

Question 10

factor

Answer 10

a number that when multiplied with another produces a given number

Question 11

divisor

Answer 11

the number that you divide by

Question 12

multiple

Answer 12

a number that can be divided by another number without a remainder

Question 13

sums of consecutive numbers generalization

Answer 13

• powers of 2 can’t be expressed as a sum of consecutive numbers
• it would result in an odd number
• Example: 2^0 = 1, 2^1=2, 2^2 = 4, 2^3=8 these numbers are not consecutive
• Example: 4^0= 1, 4^1 =4, 4^2 = 16 not consecutive numbers

Question 14

locker room problem

Answer 14

-lockers that remained open were the square numbers bc they have an odd number of factors (10 remained open)