Factors And Divisibility

Question 1

What are factors?

Answer 1

Factors are numbers that when multiplied together, equal a specific number.

Ex: the factors fo the number 6 are 1, 2, 3, and 6.

Question 2

What does product mean?

Answer 2

Product means multiplication.

The product of two factors should equal a specific number.

Question 3

What is the “Greatest Common Factor”?

Answer 3

It’s the largest factor of the shared factors of two different numbers.
Ex:
Factors of 48> 1,2,3,4,6,8,12,16,24,48
Factors of 60>1,2,3,4,5,6,10,12,15,20,30,60

Therefore, the greatest common factor (GCF) between 48 and 60 is 12.

Question 4

What is a rough explanation of “product of primes”

Answer 4

A tree diagram with initial #s at the top of the tree. Branches represent 2 numbers that when multiplied equal the # above. The branches continue until only prime #s remain.

Question 5

What is divisibility?

Answer 5

Divisibility refers to the fact that when you find the factors fo a number you can also consider them “divisors” of that #.
EX: 1,2,3, and 6 are factors of 6. This means that 1,2,3, and 6 are also divisors of 6.

Question 6

What are the rules of Divisibility?

Answer 6

1. # s divisible by 2 end in 0,2,4,6,8
2. # s divisible by 5 end in either 0 or 5
3. # s divisible by 10 end in 0
4. If the digits fo the # add up to 3 then the # is divisible by 3. Ex: 336 is divisible by 3 because 3+3+6=12
5. If the digits of the # add up to 9 then the # is divisible by 9. EX: 45 is divisible by 9 because 4+5=9