- Word Problem Involving the Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Least Common Multiple of 2 Numbers
- Factoring a Sum or Difference of Whole Numbers
- Introduction to Factoring With Numbers
- Understanding the Distributive Property
- Introduction to Distributive Property
- Greatest Common Factor of 3 Numbers
- Greatest Common Factor of 2 Numbers
- Prime Factorization
- Prime Numbers
- Factors
- Divisibility Rules for 3 and 9
- Divisibility Rules for 2, 5, and 10
- Even and Odd Numbers
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Selected Reading
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- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Factors
Factors are the numbers we multiply to get another number. For example, if we multiply 3 and 5, we get 15. We say, 3 and 5 are factors of 15.
Alternatively, factors of a number are those numbers which spanide that number without leaving any remainder.
For example, 1, 2, 3, 4, 6, and 12 are factors of 12 as all of them spanide it evenly.
The largest and smallest factors of a number
The largest factor of any number is the number itself and the smallest factor is 1.
1 is the factor of every number.
So, for example, the largest and smallest factors of 12 are 12 and 1.
Find all the factors of 20
Solution
Step 1:
We go through the whole numbers as shown below in table.
To find factors, we try to make products equal to 20.
Step 2:
We stop when get to a factor that repeats.
Step 3:
So all factors of 20 are 1, 2, 4, 5, 10, and 20
Find all the factors of 36
Solution
Step 1:
We go through the whole numbers as shown.
To find all factors, we try to make products equal to 36.
Step 2:
We stop when get to a factor that repeats.
Step 3:
So all the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36