Grade 5 Divisibility Tests Worksheets
Use the digit rules to tell what divides a number without dividing it.
Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 5 factors & multiples skills, see all factors & multiples worksheets.
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Factors & Multiples · Grade 5
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Grade 5 · 3 pages · A4What each level generates
Grade 5 divisibility tests — the exact skill behind each difficulty setting, straight from the generator.
- Level 12, 5 and 10
- Level 23, 6 and 9
- Level 3Which tests pass
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
More Grade 5 factors & multiples skills
Each one generates a different kind of question, with its own three levels and answer key.
- FactorsFind the factor pairs of a number, list every factor, and test whether one number divides another.
- MultiplesCount up in a number, spot its multiples among others, and find them inside a range.
- Primes & CompositesDecide whether a number is prime, pick the primes out of a list, and prove a number is not one.
- Prime FactorsBreak a number down into the primes it is made of, and build it back up again.
Frequently asked questions
▸Is 1 a prime number?
No. A prime has exactly two different factors, 1 and itself, and 1 has only one factor altogether. The other question that always follows: 2 is prime, and it is the only even prime, because every other even number has 2 as a third factor. Prime or composite? never asks about either — every number on that level sits between 11 and 97.
▸What are the divisibility rules used on these sheets?
A number divides by 2 if it ends in an even digit, by 5 if it ends in 5 or 0, and by 10 if it ends in 0. It divides by 3 if its digits add to a multiple of 3 and by 9 if they add to a multiple of 9. It divides by 4 if its last two digits do, and by 6 if the 2 rule and the 3 rule both pass. All seven appear together on Which tests pass.
▸How do you write a number as a product of primes?
Divide by the smallest prime that goes in, then keep going with what is left until that is prime too. For 180: 180 ÷ 2 = 90, 90 ÷ 2 = 45, 45 ÷ 3 = 15, 15 ÷ 3 = 5, and 5 is prime. Write the primes you divided by, smallest first — 2 × 2 × 3 × 3 × 5 — which is the form the answer key uses.
▸Are there factor trees on these worksheets?
No. Every sheet in this topic is a list of worded questions, which prints identically on A4 and US Letter and leaves room to work under each one. A factor tree is a method rather than an answer, so draw one in that space if it helps — the sheet is asking for the finished product line.
▸How is this different from the Grade 4 factors page?
Grade 4 asks what a factor and a multiple are. Grade 5 asks which numbers are prime, what divides what, and what a number is built from, which is three sheets Grade 4 does not have. The two shared sheets grow as well: factor lists run to 200 instead of 100, multiples are counted in numbers up to 25 instead of 12, and Is it a factor? usually picks a number outside the times-table grid so it cannot be answered from memory.