Factors of 24 by Prime Factorization & Factor Tree Method (2024)

Solved Examples on Factors of 24

With the knowledge of all the previous headers, we can say that factors are always whole numbers and they cannot be fractions or decimals. Let us try some questions related to the topic for more practice.

Example 1: What are the factors of 24 that add up to 11?

Solution: Factors of 24 that after addition are equal to 11 are (3, 8). As the addition of 3 and 8 is equal to 11 and their product is equal to 24.

Example 2: For the numbers 24 and 21 determine the common factors.

Solution: To list down the common factors, 24 and 21, first find all the factors of 24 and 21.

Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

Factors of 21 = 1, 3, 7 and 21

From the list, we can say that there are two common factors between the two numbers 24 and 21 i.e. 1 and 3.

Example 3: A shopkeeper has 24 notebooks which he has to distribute among 4 students. How many books will each student receive if the books are distributed equally?

Solution: Number of notebooks the shopkeeper has = 24

Number of students amongst which the books are to be distributed = 4

Therefore, each of the students will obtain = 24/4 = 6 notebooks

Learn about Addition and Subtraction of Polynomials

Example 4: A statement says that there is a pair factor of 24, such that on the addition of the terms in pair 10 is obtained and on subtraction, the resultant is 2. Determine the factor pair.

Solution: As per the statement:

Addition of the factors pair= 10

Subtraction of the factors pair= 2

Matching the given data the factor pair will be (4, 6).

As the addition of 4+6=10, and the subtraction of 6-4=2.

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