Integer Properties

Question 1

Integers

Answer 1

negatives, 0, positives, no fractions

Question 2

Factor is the

Answer 2

Lower number

Question 3

1 is a factor

Answer 3

Of every integer

Question 4

Factor

Answer 4

Divisor

Question 5

Factors include

Answer 5

Both positive and negative factors

Question 6

Divisible by 4

Answer 6

If the last two digits are divisible by 4 then the number is divisible by 4

Question 7

Divisible by 6

Answer 7

Divisible by 2 and 3

Question 8

Divisible by 9

Answer 8

Sum of digits divisible by 9

Question 9

Divisible by 12

Answer 9

Divisible by 4 and 3

Question 10

Number * (0,1,2,3,4)

Answer 10

Multiples

Question 11

Every positive integer

Answer 11

Is a multiple of 1

Question 12

*If we know 7 is a factor of 2401 then a new multiple of 7 could be

Answer 12

2401 + 7; 2401 - 7

Question 13

*If P and Q are multiple of 7

Answer 13

Then P+Q, P-Q, P *Q are multiples of 7 (700 and 14)

Question 14

*If k is a multiple then

Answer 14

nk is a multiple

Question 15

Prime numbers under 60

Answer 15

2,3,5,7,11.13,17,19,23,29,31,37,41,43,47,53,59

Question 16

Only even prime number

Answer 16

2

Question 17

To test if a number less than 100 is prime

Answer 17

Check if its divisible by 2,3,5, or 7

Question 18

Find odd factors

Answer 18

Use the prime factorization methods but just avoid the factors of 2

Question 19

Find even factors

Answer 19

Total factors- odd factors

Question 20

Exponents of the prime factors of a perfect square must be

Answer 20

Even because the number of factors double up; so if all the factors are even then its a perfect square; half of those factors give you the square root

Question 21

The number of factors that the perfect square has

Answer 21

odd because you add one to all the even factors and then multiply

Question 22

The only integers that have an odd number of factors are

Answer 22

Perfect squares

Question 23

GCF

Answer 23

1) Find prime factorizations

2) Take common factors

Question 24

LCM

Answer 24

1) Find prime
2) Take common and then multiple with the remaining
3) My way

Question 25

LCM of two numbers

Answer 25

Multiple the two numbers/ gcf

Question 26

Is 0 even

Answer 26

Yes

Question 27

Do even and odd include positive and negative?

Answer 27

Yes

Question 28

Odd numbers can be expressed as

Answer 28

2k+ or - 1

Question 29

Adding/subtracting

Answer 29

Similar even e,e; o,o

Different odd e,o

Question 30

Multiplying

Answer 30

Multiply anything with even is even, o*o=o

Question 31

If they don’t tell us that they are integers***

Answer 31

They can be fractions!

Question 32

Testing cases

Answer 32

Plug in numbers in fours cases: e,o;e,e;o,o;o,e

Question 33

A set of n consecutive integers

Answer 33

At least one number divisible by n

Question 34

For consecutive integer, if n is odd then

Answer 34

The sum of a set of consecutive integers is divisible by n

Question 35

If there are 4 (even) consecutive integers then

Answer 35

2 even and 2 odd; divide total by half

Question 36

If we have odd number of integers consecutive

Answer 36

There is atleast one divisible by 3

Question 37

Difference between low and high

Answer 37

Does not matter where it is on the number line

51-511

Question 38

Dividend/Divisor=

Answer 38

Quotient+ remainder/divisor and this last part is the decimal

Question 39

Dont forget about 0’s and negatives

Answer 39

n