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Divisibility rules worksheets Grades 4–5

Use the rules for 2, 3, 5, 9 and 10 to decide which numbers divide a number.

The front of the free divisibility rules worksheet
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Free · Worked example · 29 problems · Answer key · US Letter

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How to do it

By 2: even. By 5: ends in 0 or 5. By 10: ends in 0. By 3 or 9: the sum of the digits is divisible by 3 or 9.

Which of 2,3,5,9,10 divide 360?2,3,5,9,10\text{Which of }2, 3, 5, 9, 10\ \text{divide }360?\quad 2, 3, 5, 9, 10
Last digit 0:2✓,5✓,10✓\text{Last digit }0: 2 \checkmark ,\quad 5 \checkmark ,\quad 10 \checkmark
Digit sum 3+6+0=9:3✓,9✓\text{Digit sum }3 + 6 + 0 = 9: 3 \checkmark ,\quad 9 \checkmark

Example problems

  1. Which of 2,3,5,9,10 divide 585?\text{Which of }2, 3, 5, 9, 10\ \text{divide }585?
  2. Which of 2,3,5,9,10 divide 437?\text{Which of }2, 3, 5, 9, 10\ \text{divide }437?
  3. Which of 2,3,5,9,10 divide 417?\text{Which of }2, 3, 5, 9, 10\ \text{divide }417?
  4. Which of 2,3,5,9,10 divide 253?\text{Which of }2, 3, 5, 9, 10\ \text{divide }253?

Factors, multiples and prime numbers

  1. Divisibility rules
  2. Factor pairs
  3. Listing factors
  4. Prime and composite numbers
  5. Prime factorization
  6. Greatest common factor (GCF)
  7. Least common multiple (LCM)
  8. GCF and LCM mixed practice