Factors/Multiples (4)

Question 1

Prime number

Answer 1

POSITIVE integer with two factors (only itself and 1)

Question 2

2 is the only…

Answer 2

even prime. And lowest prime number

Question 3

Any number that isn’t prime, can be expressed as…

Answer 3

The product of primes

Question 4

Factors

Answer 4

Positive integers that can divide N into another integer

Question 5

Multiples

Answer 5

Integers that result from multiplying N by other integers (INCLUDING ZERO)

Question 6

Zero characteristics

Answer 6

It is an even integer, but neither positive or negative. It is a multiple of everything.

Question 7

1 characteristics

Answer 7

It is not a prime number (it has only one factor, itself). It is a prime of everything (don’t forget when counting possible factors)

Question 8

If a number has an odd number of factors….

Answer 8

It is a perfect square (factors, not prime factors)

Question 9

Factors are…. multiples are…

Answer 9

Finite, infinite

Question 10

/ 2

Answer 10

Even number

Question 11

/ 3

Answer 11

Sum of digits is a multiple of 3 (327 - 3 + 2 + 7) - 12

Question 12

/ 4

Answer 12

If last two digits form a multiple of 4.

Question 13

/ 5

Answer 13

If last digit is 0 or 5

Question 14

/ 6

Answer 14

If rules of 2 and 3 are met

Question 15

/ 9

Answer 15

If sum of digits is a multiple of 9

Question 16

/ 10

Answer 16

If last digit is 0

Question 17

Least common multiple

Answer 17

Smallest positive multiple shared by two or more integers.

Question 18

How to find LCM

Answer 18

Reduce each element to its prime factors. LCM is product of highest counts of each separate prime

Question 19

Greatest common factor

Answer 19

Largest factor shared between two or more integers

Question 20

How to find GCF

Answer 20

Prime factor each integer. GCF is the product of the LOWEST counts of each prime common to both numbers

Question 21

Multiples of N…

Answer 21

Occur every Nth integer. If you add or subtract a # that is not a multiple of N, result will not be a multiple of N

Question 22

When checking to see if a number is prime…

Answer 22

You only need to check to see if the number is divisible by prime factors up to the approx sq. root of the number

Question 23

Factoring trick

Answer 23

Factors come in pairs. To find factors, start at the bottom and work your way up to the middle

Question 24

Unique factors does not mean

Answer 24

Prime factors

Question 25

Unique factors trick (work #56)

Answer 25

1) Break number down to prime factors, expressing each as an exponent. (56 = 2^3 / 7^1)
2) Drop bases, take exponents and add one to each (4 and 2)
3 Multiply them (8)

Question 26

Couples next to eachother on NL…

Answer 26

Have no factors in common.