Factor Pairs to 100

4th Grade MathFactors and Multiples4 pages

About this worksheet

Factor-pair practice to 100 for 4th grade under Common Core 4.OA.4. Four boxed numbers (24, 45, 31 and 60) each get their pair equations listed smallest to largest and a prime-or-composite call; 31's box sits nearly empty on purpose, and 60 needs six pairs. A divisibility chart then tests 54, 75, 81 and 90 against 2, 3, 5 and 9 with Yes or No in every cell. The reasoning section arranges Mr. Rivera's 48 chairs into three different rectangles, challenges Maya's claim that all even numbers are composite, and hunts a two-factor number between 50 and 60. Answers included.

Remix for free

$Factor Pairs to 100: Factors and Multiples - page 1$

$Factor Pairs to 100: Factors and Multiples - page 2$

$Factor Pairs to 100: Factors and Multiples - page 3$

$Factor Pairs to 100: Factors and Multiples - page 4$

Curriculum objectives covered

4.OA.4

“Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.”

Factor pairs in Section 1 including the prime 31, the multiple-of checks for 2, 3, 5 and 9 in Section 2, and prime reasoning through Section 3.

What's inside this worksheet

Section 1: Factor Pairs & Prime or Composite

24 comes partly worked as the model, its factor list already printed. 45, 31 and 60 follow, each with pair lines and Prime/Composite checkboxes. The near-empty space under 31 is itself a hint.

Section 2: Multiples & Divisibility Check

A sixteen-cell chart: 54, 75, 81 and 90 each answer Yes or No for multiples of 2, 3, 5 and 9.

Section 3: Word Problems & Reasoning

Three rectangular arrangements of 48 chairs (rows × chairs per row), plus whether 5 equal rows can work. Maya's all-evens-are-composite claim wants a counterexample with factor pairs, and question 3 wants a number between 50 and 60 with exactly two factors.

How teachers use it

Model box first

The 24 box is half finished on purpose. Complete it as a document-camera demo, then release the other three.

Chair proof

For the 5-rows question, have students actually try 48 ÷ 5 rather than recite divisibility rules. The remainder of 3 is the explanation.

Counterexample culture

Maya's claim falls to a single number. Students who name 2 with its lone pair 1 × 2 have learned what a counterexample is; celebrate the shortest proof in the room.

More 4th Grade Math worksheets

Multi-Digit Operations Fractions and Decimals Measurement and Data Geometry

Get started today

Create your own lesson plans, worksheets, and classroom activities in minutes using our AI-powered tools.

Try Chalkie for free