Multi-digit multiplication worksheets

Multi-digit multiplication takes the times-table facts a child already knows and organizes them into the standard column algorithm. These free printable worksheets set an M-digit number under an N-digit number and ask for the product, worked out in the familiar vertical layout.

Kid stuck on one? You don’t just get the sheet.

Multi-digit multiplication
Multi-digit multiplication worksheet — Up to 4-digit × 3-digit, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

You choose the shape of the problem by digit length — 2 × 1 to warm up, 3 × 2 for the core skill, up to 4 × 3 for a stretch. The numbers are drawn at full size within each digit band, so a three-digit factor really uses the hundreds place and the partial products stack up exactly as a child writes them by hand. Every product is a genuine multi-digit calculation, not a disguised single fact.

Why this sheet works

The sheet defaults to the column (竖式) layout because that is where the algorithm lives: the multiplicand on top, the multiplier below, and room under the line for each partial product. Eight problems fit a page with space to work, and the answer key prints the finished products on a separate sheet.

How this one works

One question from this sheet, worked through a step at a time.

101 × 98

101 98 8089090 9898
  1. 101 × 98, set out in columns. Split the 98 by place value and take one piece at a time.
  2. The 8 is in the ones, so it is just 8: 101 × 8 = 808.
  3. The 9 is in the tens, so it is worth 90 — not 9. That is why this row is 101 × 90 = 9090, and why it ends in 0.
  4. Now add the pieces: 808 + 9090 = 9898.