Divisibility Rules

Question 1

The number is divisible by 3 if…

Answer 1

The sum of the integers’ digits equal 3

Question 2

A number is divisible by 9 & 3 if…

Answer 2

The sum of the integers’ digits equals 9

Question 3

Factors are…

Answer 3

Divisors that result in a whole number.

Question 4

A prime number has…

Answer 4

Exactly TWO factors. 1 and itself

Question 5

The number 1 and all even integers greater than number 2 cannot be…

Answer 5

A prime. Since 1 is only divisible by itself and even numbers naturally have 2 as a factor.

Question 6

Prime factorization is…

Answer 6

The smallest breakdown of factoring, resulting in a list of all the primes contained in a larger integer. The PF of a number is UNIQUE to that number alone

Question 7

Every number is divisible by the factor of…

Answer 7

Its factors. Factors of 900 are 90 and 10. Therefore, 900 is also divisible by 3, 5 and 2.

Question 8

Factor foundation rule:

Answer 8

If a number is divisible by 2 different primes, it would therefore be divisible by their product. 68 prime factorization results in: 2, 2 & 17. If you multiplied 2 by 17, the product is 34 which 68 is also divisible by!

Question 9

Least common multiple connects two values by…

Answer 9

Revealing the smallest number possible divisible by both