Multiplication Basics

Memorize a Times-Table Row

Work through the complete 7 times table — 7×1 through 7×10 — one fact at a time. Seeing all ten products together reveals the pattern that each result grows by 7.

times-table A times-table row lists every product of a fixed number and the counting numbers 1 through 10. Knowing these facts cold lets you multiply and divide without stopping to count.

Example

Build the 7 times-table row two facts at a time.

highlighted = computed this step

Step 1 — Set up

Set up the table.

12345□□□□□678910□□□□□\begin{array}{ccccc}1&2&3&4&5\\\square&\square&\square&\square&\square\\6&7&8&9&10\\\square&\square&\square&\square&\square\end{array}
Set up the 7 times-table rowEach entry is a number of groups of 7.Fill two facts at a time from left to right.x 1--x 2--x 3--x 4--x 5--x 6--x 7--x 8--x 9--x 10--7 row

Step 2 — Facts 1 and 2

Fill facts: 7 x 1 = 7 and 7 x 2 = 14.

12345714□□□678910□□□□□\begin{array}{ccccc}1&2&3&4&5\\\hl{7}&\hl{14}&\square&\square&\square\\6&7&8&9&10\\\square&\square&\square&\square&\square\end{array}
7 x 1 = 7 and 7 x 2 = 141 group of 777 x 1 = 72 groups of 7777 x 2 = 14x 17x 214x 3--x 4--x 5--x 6--x 7--x 8--x 9--x 10--7 row

Step 3 — Facts 3 and 4

Fill facts: 7 x 3 = 21 and 7 x 4 = 28.

123457142128□678910□□□□□\begin{array}{ccccc}1&2&3&4&5\\7&14&\hl{21}&\hl{28}&\square\\6&7&8&9&10\\\square&\square&\square&\square&\square\end{array}
7 x 3 = 21 and 7 x 4 = 283 groups of 77777 x 3 = 214 groups of 777777 x 4 = 28x 17x 214x 321x 428x 5--x 6--x 7--x 8--x 9--x 10--7 row

Step 4 — Facts 5 and 6

Fill facts: 7 x 5 = 35 and 7 x 6 = 42.

1234571421283567891042□□□□\begin{array}{ccccc}1&2&3&4&5\\7&14&21&28&\hl{35}\\6&7&8&9&10\\\hl{42}&\square&\square&\square&\square\end{array}
7 x 5 = 35 and 7 x 6 = 425 groups of 7777777 x 5 = 356 groups of 77777777 x 6 = 42x 17x 214x 321x 428x 535x 642x 7--x 8--x 9--x 10--7 row

Step 5 — Facts 7 and 8

Fill facts: 7 x 7 = 49 and 7 x 8 = 56.

12345714212835678910424956□□\begin{array}{ccccc}1&2&3&4&5\\7&14&21&28&35\\6&7&8&9&10\\42&\hl{49}&\hl{56}&\square&\square\end{array}
7 x 7 = 49 and 7 x 8 = 567 groups of 777777777 x 7 = 498 groups of 7777777777 x 8 = 56x 17x 214x 321x 428x 535x 642x 749x 856x 9--x 10--7 row

Step 6 — Facts 9 and 10

Fill facts: 7 x 9 = 63 and 7 x 10 = 70.

123457142128356789104249566370\begin{array}{ccccc}1&2&3&4&5\\7&14&21&28&35\\6&7&8&9&10\\42&49&56&\hl{63}&\hl{70}\end{array}
7 x 9 = 63 and 7 x 10 = 709 groups of 77777777777 x 9 = 6310 groups of 777777777777 x 10 = 70x 17x 214x 321x 428x 535x 642x 749x 856x 963x 10707 row

Step 7 — Result

Read the completed table.

123457142128356789104249566370\begin{array}{ccccc}1&2&3&4&5\\7&14&21&28&35\\6&7&8&9&10\\42&49&56&63&70\end{array}
Completed 7 times-table rowAll facts from 7 x 1 through 7 x 10 are filled.Read the completed row to practice the products.x 17x 214x 321x 428x 535x 642x 749x 856x 963x 10707 row