A number that divides another number exactly is known as a ___.

Factor

The factors of 12 are ___, ___, ___, ___, ___, and ___.

1, 2, 3, 4, 6, 12

True or False: The number 1 is considered a composite number.

False. The number 1 is neither prime nor composite.

To find common factors of 12 and 18, list their factors. The common factors are ___, ___, ___ and ___.

1, 2, 3, 6

The multiples of 5 are 5, 10, 15, and x. If x is the next multiple after 15, what is the value of x?

Multiples of 5 increase by 5 each time: 5, 10, 15, 20. So the next multiple after 15 is 15 + 5 = 20.

What is the least common multiple (LCM) of 4 and 6?

The LCM of 4 and 6 is 12.

• 4 = 2 × 2 

• 6 = 2 × 3

LCM =  2 × 2 × 3 

= 4 × 3 

= 12

A prime number is defined as a natural number greater than 1 that has exactly ___ factors.

Two factors

Those factors are 1 and the number itself.

Fill in the blank: The number 15 can be expressed as the product of its factors ___ and ___.

3, 5

Using the divisibility rule, determine if the number 256 is divisible by 4.

Yes, because the last two digits 56 are divisible by 4.

If Mowgli jumps by 5, he will touch the numbers ___ and ___. (Assume starting from 0)

If Mowgli starts from 0 and jumps by 5, the numbers he will touch are 5 and 10. 

(First jump → 0 + 5 = 5, second jump → 5 + 5 = 10)

True or False: The sum of the digits of a number must be divisible by 3 for the number itself to be divisible by 3.

True

Rule: A number is divisible by 3 if the sum of its digits is divisible by 3.

Identify a common multiple of 3 and 4.

12

If a number is divisible by both 2 and 3, it is also divisible by ___.

6

Fill in the blank: The first three multiples of 7 are ___, ___, and ___.

7, 14, 21