Divisibility means that a whole number can be divided by another number with no remainder. In base-ten whole numbers, the ones digit determines divisibility by 2 (0, 2, 4, 6, or 8), by 5 (0 or 5), and by 10 (0); therefore, numbers divisible by 10 are divisible by both 2 and 5, supporting the identification of factors and multiples. This understanding does not extend to divisibility rules for other numbers or formal algebraic proofs.
Detailed Explanation: Use divisibility rules for 2, 5, and 10
A number is divisible by another number if it can be divided with no remainder. You can use the ones digit to check divisibility by 2, 5, and (10).
A number is divisible by 2 if its ones digit is (0,2,4,6,) or 8.
A number is divisible by 5 if its ones digit is 0 or 5.
A number is divisible by (10) if its ones digit is 0.
Example: Is (450) divisible by 2, 5, and (10)?
Look at the ones digit. The ones digit in (450) is 0.
Since 0 is one of (0,2,4,6,) or 8, (450) is divisible by 2.
Since the ones digit is 0 or 5, (450) is divisible by 5.
Since the ones digit is 0, (450) is divisible by (10).
So, (450) is divisible by 2, 5, and (10). Indeed,
450÷2=225,450÷5=90,450÷10=45.
Learn by doing: Use divisibility rules for 2, 5, and 10
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