Question 1

What is a factor of a number?

Accepted Answer

A factor of a number is any integer that divides the number evenly 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, check which integers from 1 to the square root of the number divide it evenly. Each divisor found gives you a factor pair. For example, for 24: 1x24, 2x12, 3x8, 4x6, giving factors 1, 2, 3, 4, 6, 8, 12, 24.

Question 3

What is prime factorization?

Accepted Answer

Prime factorization expresses a number as a product of prime numbers. Every integer greater than 1 has a unique prime factorization. For example, 60 = 2^2 x 3 x 5. This is useful for finding GCF, LCM, and simplifying fractions.

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