Question 1

What is a factor of a number?

Accepted Answer

A factor of a number is an integer that divides the number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because each of these numbers divides 12 exactly.

Question 2

How do you find all factors of a number?

Accepted Answer

To find all factors of a number, divide the number by integers starting from 1 up to the square root of the number. For each divisor that gives a whole number result, both the divisor and the result are factors. For example, to find factors of 36, check divisions from 1 to 6 (√36). The pairs are: 1×36, 2×18, 3×12, 4×9, and 6×6, giving factors 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Question 3

What's the difference between a prime and a composite number?

Accepted Answer

A prime number has exactly two factors: 1 and itself. Examples include 2, 3, 5, 7, and 11. A composite number has more than two factors. For example, 4 has factors 1, 2, and 4, making it composite. The number 1 is neither prime nor composite as it has only one factor.

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