
Чем отличается делитель от кратного?


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Difference between a Divisor and a Multiple
A divisor and a multiple are both mathematical terms related to division and multiplication, respectively. Here's a detailed explanation of each term:
Divisor: A divisor is a number that divides another number without leaving a remainder. In other words, if a number 'a' is divisible by another number 'b', then 'b' is a divisor of 'a'. For example, in the division problem 12 ÷ 3 = 4, the number 3 is a divisor of 12 because it divides 12 evenly without leaving a remainder. Divisors are commonly used in finding factors and determining divisibility.
Multiple: A multiple is a number that is obtained by multiplying a given number by an integer. In simple terms, if a number 'a' can be expressed as the product of another number 'b' and an integer 'c', then 'a' is a multiple of 'b'. For example, the number 12 is a multiple of 3 because it can be expressed as 3 multiplied by 4 (3 × 4 = 12). Multiples are often used in finding common multiples and determining patterns in sequences.
To summarize: - A divisor divides a number without leaving a remainder. - A multiple is obtained by multiplying a number by an integer.
Let's look at some examples to further illustrate the difference between divisors and multiples:
- Divisor example: The divisors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers divide 12 without leaving a remainder. - Multiple example: The multiples of 3 are 3, 6, 9, 12, 15, and so on because these numbers are obtained by multiplying 3 by different integers.
I hope this clarifies the difference between a divisor and a multiple. Let me know if you have any further questions!


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