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Divisibility |
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Divisibility The ability to divide without a remainder. |
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Knowing divisibility rules will help in math. A key reason for knowing divisibility rules is to help work with fractions, ratios, and probability. Knowing if something can be divided by a number helps us figure out factors, and common factors needed to reduce fractions, ratios and probabilities. So, let's look at the rules:
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A number is divisible by |
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2 |
It is an even number (ends in 2,4,6,8, or 0) |
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3 |
The sum of the digits of the number is divisible by 3 |
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4 |
The number formed by the last 2 digits is divisible
by 4 |
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5 |
The number ends in 0 or 5 |
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6 |
It is even and the sum of its digits is divisible
by 3 |
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7 |
(no simple rule) |
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8 |
The number formed by the last 3 digits is divisible
by 8 |
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9 |
The sum of the digits is divisible by 9 |
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10 |
The number ends in 0 |
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Check Your Understanding
Check your skill at identifying divisibility by numbers:
- Enter number 1 between 2 and 99999.
- Enter number 2 as 2,3,4,5,6, or 10.
- Decide whether you believe the 'number 1' is divisible by 'number 2'.
- Click the button "Check" and check your answer.
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