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Divisibility Tests

x. ÷. Divisibility Tests. Is 24672312 divisible by 3?. An integer is divisible by 2 if…. . . .it ends in an even digit. So 345,678,234,624 is divisible by 2. I can’t even say that number!. An integer is divisible by 3 if. . . .the sum of the digits is a multiple of 3.

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Divisibility Tests

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  1. x ÷ Divisibility Tests Is 24672312 divisible by 3?

  2. An integer is divisible by 2 if… . . .it ends in an even digit. So 345,678,234,624 is divisible by 2. I can’t even say that number!

  3. An integer is divisible by 3 if . . . . . .the sum of the digits is a multiple of 3. So 24,672,312 is divisible by 3 because 2 + 4 + 6 + 7 + 2 + 3 + 1 + 2 equals 27 which is a multiple of 3. Wow that’s amazing!

  4. An integer is divisible by 4 if . . . . . .the number formed by the final two digits is divisible by 4. So 976,816 is divisible by 4 because 16 is divisible by 4!

  5. An integer is divisible by 5 if . . . . . .the final digit is 0 or 5. So 9,756,439,275,975 is divisible by 5. What a big number!

  6. An integer is divisible by 6 if . . . . . .the final digit is even and the digit sum is divisible by 3. So 78,642 is divisible by 6 because 7 + 8 + 6 + 4 + 2 = 27 AND it’s an even number!

  7. An integer is divisible by 8 if . . . . . .the number formed by the final 3 digits is divisible by 8. So 458,112 is divisible by 8 because 112 is divisible by 8. That’s a bit hard to do!

  8. An integer is divisible by 9 if . . . . . .the sum of the digits is divisible by 9. So 362,178 is divisible by 9 because 3 + 6 + 2 + 1 + 7 + 8 = 27 which is a multiple of 9! I’m getting the hang of this now!

  9. An integer is divisible by 10 if . . . . . .the final digit is 0. So it’s easy to tell if a number is divisible by 10!

  10. An integer is divisible by 11 if . . . . . .the difference between the sums of alternating digits is divisible by 11. So 72,479 is divisible by 11 because (7 + 4 + 9) – (2 + 7) = 11 and 11 is divisible by 11. I never knew that!

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