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Factors and Multiples

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Factors and Multiples:

1. Factors:

Factors of 4:

Quotient is 4
Remainder is 0
4 = 1 × 4
Quotient is 2
Remainder is 0
4 = 2 × 2
Quotient is 1
Remainder is 1
Quotient is 1
Remainder is 0
4 = 4 × 1

We find that the number 4 can be written as: 4 = 1 × 4; 4 = 2 × 2;4 = 4 × 1 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.

2. Multiples:

Multiples of 3:

A number is a multiple of each of its factors.

Hence, 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,...
The list is endless.
Each of these multiples is greater than or equal to 3.

Facts about factors and multiples:

  • 1 is a factor of every number.

  • Every number is a factor of itself.

  • Every factor of a number is an exact divisor of that number.

  • Every factor is less than or equal to the given number.

  • The number of factors of a given number are finite.

  • Every multiple of a number is greater than or equal to that number.

  • The number of multiples of a given number is infinite.

  • Every number is a multiple of itself.

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Shaalaa.com | Factors and Multiples part-1

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Factors and Multiples part-1 [00:14:51]
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