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Divisibility Rules

Aka multiples, aka factors

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Divisibility by zero

Nope

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Divisibility by one

Yup!

(If it’s a whole number)

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Divisibility by two

Is it an even number?

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Divisibility by ten

Is there a 0 in the ones place?

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Divisibility by five

Is there a 0 or 5 in the ones place?

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Divisibility by three

Add the digits. Is the sum a multiple of three?

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Divisibility by nine

Add the digits. Is the sum a multiple of nine?

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Divisibility by six

Is it divisible by 2 and 3?

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Divisibility by four

Are the tens and ones place divisible by 4?

OR:

  1. Ignore everything past the tens place.
  2. Subtract a multiple of 20 from the remaining number.
  3. Is the remaining number divisible by 4?

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Divisibility by eight

Are the hundreds, tens, and ones place divisible by 8?

OR:

  • Ignore everything past the hundreds place.
  • Subtract a multiple of 80 from the remaining number.
  • Is the remaining number divisible by eight?

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Divisibility by seven

Double the ones place and subtract from the rest of the number. Is it divisible by 7?