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 two consecutive odd numbers whose sum is 84. | |||
| Right Option : C | |||
| View Explanation |
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 |
Between which multiple of 10 does 3486 lie? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
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8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
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Om Umang
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
