Multiplication of Small Numbers Calculator

Published on: January 14, 2024
Final Answer: Free Full Steps: Free

This Multiplication of Small Numbers Calculator helps you multiply simple whole numbers and shows the working clearly using a multiplication table. Find the first factor along the rows, then find the second factor along the columns, and read the value sitting where that row and column meet. That value is the product. Following the same pattern every time is what makes multiplication easy to picture, check, and repeat on your own with any small numbers.

Step-by-step method

  1. Find the first factor on the table to choose the correct row.
  2. Find the second factor on the table to choose the correct column.
  3. Read the product at the intersection of the chosen row and column.
12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100
A Blank Multiplication Table from 1 to 10

Tip: Swapping the factors does not change the product, because \(3 \times 4\) and \(4 \times 3\) meet at the same square on the table.

See Example 1 Hide Example 1

Problem

\(3 \times 4\)

Approach

Step-by-step method

  1. Find the first factor on the table to choose the correct row.
  2. Find the second factor on the table to choose the correct column.
  3. Read the product at the intersection of the chosen row and column.

Step 1

Step 1 - Find the first factor on the table to choose the correct row.

In this problem: The first factor is \(3\). Use row \(3\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Step 2

Step 2 - Find the second factor on the table to choose the correct column.

In this problem: The second factor is \(4\). Use column \(4\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Step 3

Step 3 - Read the product at the intersection of the chosen row and column.

In this problem: Row \(3\) and column \(4\) meet at \(12\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Final Answer

\(3 \times 4 = 12\)
See Example 2 Hide Example 2

Problem

\(9 \times 7\)

Approach

Step-by-step method

  1. Find the first factor on the table to choose the correct row.
  2. Find the second factor on the table to choose the correct column.
  3. Read the product at the intersection of the chosen row and column.

Step 1

Step 1 - Find the first factor on the table to choose the correct row.

In this problem: The first factor is \(9\). Use row \(9\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Step 2

Step 2 - Find the second factor on the table to choose the correct column.

In this problem: The second factor is \(7\). Use column \(7\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Step 3

Step 3 - Read the product at the intersection of the chosen row and column.

In this problem: Row \(9\) and column \(7\) meet at \(63\).

12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

Final Answer

\(9 \times 7 = 63\)