Multiples
Multiples
Factors and multiples are different things. But they both involve multiplication: Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction).
We must multiply by an integer, but the number that is being multiplied can be anything.
Multiples: For getting multiples of a number, we recite the multiplication table of that number.
e.g. multiples of 4 are 4, 8, 12, 16, ...
Perfect number: A number for which the sum of all its factors is equal to twice the number is called a perfect number.
e.g. 28 is a perfect number as shown below
56 = 28 X 2 = 1 + 2 + 4 + 7 + 14 + 28
Note: 1. Every multiple of a number is greater than or equal to that number.
2. The number of multiples of a given number is infinite.
3. Every number is a multiple of itself.
4. A number is a multiple of each of its factors.
Illustration: Find the multiples of 12.
Solution: ..., 12, 24, 48, 60, ...
Illustration: Find first five multiples of 6.
Solution: The required multiples are
6 X 1 =6
6 X 2 = 12
6 X 3 = 18
6 X 4 = 24
6 X 5 = 30
Hence, the first five multiples of 8 are 6, 12, 18, 24, 30
Find the number which when multiplied by 12 gives 36. | |||
| Right Option : A | |||
| View Explanation | |||
Find the two consecutive odd numbers whose sum is 64. | |||
| Right Option : C | |||
| View Explanation |
How many odd numbers are there between 20 and 50 ? | |||
| Right Option : B | |||
| View Explanation | |||
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