ملفات متنوعة

الفرق بين العوامل والمضاعفات

الفرق بين العوامل والمضاعفات

إن كنت تفتقد في نتائج البحث الحصول على الفرق بين العوامل والمضاعفات، فقط كل ماعليك هو الدخول على موقعنا، وتحميل الملف عبر رابط التحميل المباشر على موقع الدراسة بالمناهج الاماراتية.

قد قمنا ايضا بـ: حل درس العوامل والمضاعفات

ما هو الفرق بين العوامل والمضاعفات ؟

في الرياضيات، العوامل والمضاعفات مفهومان مرتبطان بالأعداد، ولكنهما يختلفان في معناهما واستخدامهما. إليك شرح لكل منهما والفرق بينهما:

العوامل (Factors)

العوامل هي الأعداد التي تقسم عددًا معينًا دون ترك باقٍ.
بمعنى آخر، إذا كان
$a$ $a$ و $b$ $b$ عددين صحيحين، وكان $a$ $a$ يقسم $b$ $b$ دون باقٍ، فإن $a$ $a$ يُسمى عاملًا لـ $b$ $b$ .
مثال: عوامل العدد 12 هي: 1, 2, 3, 4, 6, 12 لأن هذه الأعداد تقسم 12 دون باقٍ.

المضاعفات (Multiples)

المضاعفات هي الأعداد التي تُنتج بضرب عدد معين في عدد صحيح آخر.
بمعنى آخر، إذا كان $a$ عددًا صحيحًا، فإن مضاعفاته هي الأعداد التي تُكتب على الشكل $a \times n$ ، حيث $n$ عدد صحيح.
مثال: مضاعفات العدد 3 هي: 3, 6, 9, 12, 15, ... لأنها تُنتج بضرب 3 في الأعداد الصحيحة 1, 2, 3, 4, 5, ...

الفرق الرئيسي

العوامل هي أعداد تقسم عددًا معينًا دون باقٍ، بينما المضاعفات هي أعداد تُنتج بضرب عدد معين في أعداد صحيحة.
باختصار: العوامل هي "أجزاء" العدد، بينما المضاعفات هي "نسخ" العدد.

مثال توضيحي:

العدد 6:

عوامل 6: 1, 2, 3, 6 (لأنها تقسم 6 دون باقٍ).
مضاعفات 6: 6, 12, 18, 24, ... (لأنها تُنتج بضرب 6 في 1, 2, 3, 4, ...).

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