Factors
Factors
Factors:
Number 4 can be written as : and knows that the numbers 1, 2 and 4 are exact divisors of 4.
These numbers are called factors of 4.
A factor of a number is an exact divisor of that number.
1. Is there any number which occurs as a factor of every number? YEs . It is 1. For example and so on. Check it for a few more numbers.
We say 1 is factor of every number.
2. Can 7 be a factor of itself? Yes. You can write 7 as . What about 10? and 15?
You will find that every number can be expressed in this way.
We say that every number is a factor of itself.
3. WHat are the factors of 16? They are 1, 2, 4, 8, 16. Out of these factors do you find any factor which does not divide 16? Try it for 20; 36
You will find that every factor of a number is an exact divisor of that number.
4. What are the factors of 34? They are 1, 2, 17 and 34 itself. Out of these which is the greater factor? It is 34 itself.
The other factors 1, 2 and 17 are less than 34. Try to check this for 64, 81 and 56.
We say that every factor is less than or equal to the given number.
5. The number 76 has 5 factors. How many factors does 136 or 96 have? You will find that you are able to count the number of factor of each of these.
Even if the numbers are as large as 10576, 25642 etc. or larger, you can still count the number of factor of such numbers. ( though you may find it difficult to factorise such numbers).
We say that number of factors of a given number are finite.
Common factors of 9 and 36 are: | |||
| Right Option : A | |||
| View Explanation |
A number which is a factor of every number is: | |||
| Right Option : B | |||
| View Explanation |
Every number is a ______________ and a _______________ of itself. | |||
| Right Option : A | |||
| View Explanation | |||
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