Math Problem Statement
Explain divisibility by 7 in short
Solution
Divisibility by 7 can be checked using a simple method:
- Take the last digit of the number.
- Double it, and then subtract this result from the remaining digits of the number.
- Repeat the process if necessary. If the final result is divisible by 7, then the original number is divisible by 7.
For example, for 203:
- Take the last digit (3), double it (6), subtract from the rest (20): .
- Since 14 is divisible by 7, 203 is divisible by 7.
Would you like more details or have any questions?
Here are some related questions:
- What are other divisibility rules for 2, 3, or 5?
- Can this rule be applied to larger numbers?
- Why does this rule work for divisibility by 7?
- How does divisibility by prime numbers differ from composite numbers?
- Are there different ways to test divisibility by 7?
Tip: Divisibility rules can help simplify long division and check factors quickly.
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Math Problem Analysis
Mathematical Concepts
Divisibility Rules
Number Theory
Formulas
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Theorems
Divisibility Theorem
Suitable Grade Level
Grades 6-8