Multiples
Multiples
Multiples:
When we write a number 20 as we say 4 and 5 are factors of 20. We also say that 20 is a multiple of 4 and 5.
The representation shows that 2 and 12 are factors of 24, whereas 24 is a multiple of 2 and 12.
We say that the numbers 3, 6, 9, 12, 15 are multiples of 3.
The list of multiples of 3 can be continued as 18, 21, 24,...
Each of these multiples is greater than or equal to 3.
The multiple of the number 4 are 4, 8, 12, 16, 20, 24,...
The list is endless. Each of these numbers is greater than or equal to 4.
1. What are the multiples of 7? Obviously, 7, 14, 21, 28,... You will find that each of these multiples is greater than or equal to 7. Will it happen with each number? Check this for the multiples of 6, 9 and 10.
We find that every multiple of a number is greater than or equal to that number.
2. Write the multiples of 5. They are 5, 10, 15, 20,... Do you think this list will end anywhere? No! The list is endless. Try it with multiples of 6, 7 etc.
We find that the number of multiples of a given number is infinite.
3. Can 7 be a multiple of itself? Yes, becuase Will it be true for other numbers also? Try it iwth 3, 12 and 16.
You will find that every number is a multiple of itself.
The factor f 6 are 1, 2, 3 and 6 . Also, 1+2+3+6 = 12 = 2 6. We find that the sum of the factor of 6 is twice the number 6. All the factors of 28 are 1,2,4,7,14, and 28. Adding these we have, 1+2+4+7+14+28 = 56 = 2
28.
The sum of the factors of 28 is equal to twice the number 28.
4. A number for which sum of all its factors is equal to twice the number is called a perfect number. The numbers 6 and 28 are perfect numbers.
A class monitor helped his teacher to collect some money from 54 students for a picnic outing. The record of money collected was accidentally smeared with water and only 3 digits of the total cash amount, | |||
| Right Option : B | |||
| View Explanation |
Bhushan counted to 60 using multiples of 6. Which statement is true about multiples of 6? | |||
| Right Option : C | |||
| View Explanation | |||
Consider the following statement:
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| Right Option : D | |||
| View Explanation |
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