The factors questions and answers are provided here for students to understand the concept quickly. Factors is one of the most basic concepts taught in primary classes and the concept is very useful while dealing with larger numbers. Students can make use of these questions to take a quick review of the concepts and they become familiar with the concept by practising the provided questions. Cross-check your answers against the detailed explanations given for each question. To learn more about factors, click here.
| Factors Definition: In Maths, a factor is defined as a number that divides the given number exactly. For example, the factors of 6 are 1, 2, 3 and 6. Here, the numbers 1, 2, 3, 6 divides the number 6 exactly and leave the remainder 0. Hence, 1, 2, 3, 6 are the factors of 6. |
Go through the below factors questions and answers and practice it as well.
Factors Questions with Solutions
1. “Every Number is a factor of itself”. State True or False.
Solution:
Given Statement: Every number is a factor of itself.
The given statement is true.
Let us assume the number 4. The factors of 4 are 1, 2 and 4.
Because 4 is exactly divided by 4 and leaves the remainder 0.
Hence, every number is a factor of itself.
2. A number that is the factor of every number is ____.
Solution:
The number that is the factor of every number is 1.
For example, every number is completely divisible by 1 and leaves the remainder 0.
For example, the factors of 2 are 1 and 2.
The factors of 5 are 1 and 5.
3. Is 7 a factor of 49?
Solution:
Yes, 7 is a factor of 49.
If 49 is divided by 7, the remainder is 0.
(i.e) 49/7 = 7 and remainder =0.
4. What are the factors of 25?
Solution:
The factors of 25 are 1, 5 and 25.
5. What are the positive and negative pair factors of 16?
Solution:
The factors of 16 are 1, 2, 4, 8 and 16.
Hence, the positive pair factors of 16 are (1, 16), (2, 8) and (4, 4)
Similarly, the negative pair factors of 16 are (-1, 16), (-2, -8) and (-4, -4)
6. What are the prime factors of 30?
Solution:
As we know, the factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.
The prime factors of 30 are 2, 3 and 5.
7. If 3 is a factor of 21, then 21 divided by 3 leaves ___ as a quotient and ___ as a remainder.
Solution:
If 3 is a factor of 21, then 21 divided by 3 leaves 7 as a quotient and 0 as a remainder.
(i.e) 21/3 = 7 and remainder = 0.
8. What is the prime factorization of 60?
Solution:
The prime factorization of 60 is the method of writing the number as the product of its prime factors.
Thus, the prime factorization of 60 is 2 × 2 × 3 × 5, which is also written as 22 × 3 × 5.
9. What are the common factors of 4 and 16?
Solution:
The factors of 4 are 1, 2 and 4.
The factors of 16 are 1, 2, 4, 8, 16.
Hence, the common factor of 4 and 16 is 4.
10. What is the greatest common factor of 9 and 81?
Solution:
The factors of 9 are 1, 3, 9.
The factors of 81 are 1, 3, 9, 27, 81.
Hence, the greatest common factor of 9 and 81 is 9.
Practice Questions
- Every number is the greatest factor of itself. State true or false.
- What are the factors of 64?
- Is 16 a factor of 32?
- What are the prime factors of 72?
- What are the positive and negative pair factors of 32?
- Find the greatest common factor of 8 and 32?
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