The correct answer is 2, 3, 6, and 9 only. Also, the sum of the digits is divisible by 9, so 522 is divisible by 9. Since it is divisible by 2 and 3, it is also divisible by 6. However, 522 is divisible by 2 (the last digit is even) and 3 (5 + 2 + 2 = 9, which is a multiple of 3). The last digit is not 0, so 522 is not divisible by 10. The last digit is not 0 or 5 so 522 is not divisible by 5. The last two digits are not divisible by 4, so 522 is not divisible by 4. The number formed by the last two digits, 22, is not divisible by 4, so 522 is not divisibly by 4. Since the last digit is not 0 or 5, 522 is not divisible by 5 or 10. 522 is divisible by 2 (the last digit is even) and 3 (5 + 2 + 2 = 9, which is a multiple of 3). The correct answer is 2, 3, 6, and 9 only.Ĭorrect. Since 522 is divisible by 2 and by 3, it is divisible by 6. The sum of the digits is divisible by 3 (5 + 2 + 2 = 9) and by 9, so 522 is divisible by 3 and 9. 522 has a last digit divisible by 2, so 522 is divisible by 2. The last two digits (22) are not divisible by 4, so 522 is not divisible by 4. Although 522 is divisible by 2 (the last digit is even) and 3 (5 + 2 + 2 = 9, which is a multiple of 3), it is also divisible by 6 and 9. If you forget a rule, you can also use this strategy.ĭetermine whether 522 is divisible by 2, 3, 4, 5, 6, 9, or 10. If the result is a number without any fractional part or remainder, then the number is divisible by the divisor. If you need to check for divisibility of a number without a rule, divide (either using a calculator or by hand). The last two digits form a number that is divisible by 4.Ĥ11 no (although divisible by 3, it is not even) Here is a summary of the most commonly used divisibility rules.Ħ42 yes (6 + 4 + 2 = 12, 12 is divisible by 3)ħ21 no (7 + 2 + 1 = 10, 10 is not divisible by 3) For example, 520 is divisible by 10 (last digit is 0).Ĥ : A number is divisible by 4 if the last two digits are divisible by 4.Ħ : A number is divisible by 6 if it is divisible by both 2 and 3.ĩ : A number is divisible by 9 if the sum of its digits is divisible by 9. A number is divisible by 10 if the last digit is 0.For example, 275 and 1,340 are divisible by 5 because the last digits are 5 and 0. A number is divisible by 5 if the last digit is 0 or 5.Since 6 is divisible by 3 ( ), 411 is divisible by 3. For example, the sum of the digits of 411 is 4 + 1 + 1 = 6. A number is divisible by 3 if the sum of all the digits is divisible by 3.Since 6 is divisible by 2 (6 ÷ 2 = 3), 236 is divisible by 2. (We then say the number is an even number.) For example, in the number 236, the last digit is 6. That is, the last digit is 0, 2, 4, 6, or 8. A number is divisible by 2 if the last (ones) digit is divisible by 2.Here are some of the most useful and easy to remember: For example, 20 is divisible by 4, so 20 is a multiple of 4.ĭivisibility tests are rules that let you quickly tell if one number is divisible by another. If a number is divisible by another number, it is also a multiple of that number. When one number can be divided by another number with no remainder, we say the first number is divisible by the other number.
For example, two factors of 12 are 3 and 4, because 3 When a natural number is expressed as a product of two other natural numbers, those other numbers are factors of the original number.
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