Free Printable WorksheetMathGrade 6Math Curriculum6.32

6.32 Apply Divisibility Rules to Identify Factors and Multiples Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.32 Apply Divisibility Rules to Identify Factors and Multiples. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly applies a divisibility rule to determine whether the number is divisible by a given divisor? (CCSS 6.NS.B.4; CA 6.NS.B.4; MA 6.NS.B.4; NY NY-6.NS.4; FL MA.6.NSO.3.1, MA.6.NSO.3.4; TX 19 TAC §111.26(b)(7)(A))

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.32 Apply Divisibility Rules to Identify Factors and Multiples skill assessments:

Problem 1Difficulty: Mastery

Only one of these numbers is divisible by 60. Use a divisibility rule to choose it.

A5388349

B5388362

C5388351

D5388360

Solution & Explanation:For 60, check 3 and 20. 5388360 has digit sum 33 divisible by 3 and last two digits 60 that make it divisible by 20, so it is divisible by 60.

Problem 2Difficulty: Mastery

A student is checking whether 1429150 is a multiple of 50. Which statement is correct?

ACheck the last digit only. Since 0 is even, that tells you divisibility by 50.

BA number is divisible by 50 if it ends in 0. 1429150 ends in 0, so it is divisible by 50.

CCheck the last two digits. If they are 00 or 50, the number is divisible by 50. 1429150 ends in 50, so it is divisible by 50.

DCheck the last two digits. If they are 00 or 50, the number is not divisible by 50. 1429150 ends in 50, so it is not divisible by 50.

Solution & Explanation:A number is divisible by 50 if its last two digits are 00 or 50. The last two digits are 50, so the answer is Yes.

Problem 3Difficulty: Mastery

Which choice correctly uses a divisibility rule to decide if 793753 is divisible by 88?

AFor 11, compute (15) − (19) = -3. Since -3 is a multiple of 11, 793753 is divisible by 11.

BBecause 88 = 8×11, check both rules. Last three digits 753 are not a multiple of 8, and the alternating-digit difference is -4 (not a multiple of 11), so 793753 is not divisible by 88.

CFor 11, add all the digits to get 34. Since that sum is a multiple of 11, 793753 is divisible by 11.

DCheck the last digit only. Since 3 is odd, that tells you divisibility by 88.

Solution & Explanation:A number is divisible by 88 if it is divisible by both 8 and 11. Check last three digits 753 for 8, and check alternating-digit difference -4 for 11.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.32 (Apply Divisibility Rules to Identify Factors and Multiples).