Multiplication Table of 17
Table of 17 up to 10
Multiplication | Product |
|---|---|
$17 \times 1$ | 17 |
$17 \times 2$ | 34 |
$17 \times 3$ | 51 |
$17 \times 4$ | 68 |
$17 \times 5$ | 85 |
$17 \times 6$ | 102 |
$17 \times 7$ | 119 |
$17 \times 8$ | 136 |
$17 \times 9$ | 153 |
$17 \times 10$ | 170 |
Table of 17 up to 20
Multiplication | Product |
|---|---|
$17 \times 11$ | 187 |
$17 \times 12$ | 204 |
$17 \times 13$ | 221 |
$17 \times 14$ | 238 |
$17 \times 15$ | 255 |
$17 \times 16$ | 272 |
$17 \times 17$ | 289 |
$17 \times 18$ | 306 |
$17 \times 19$ | 323 |
$17 \times 20$ | 340 |
Table of 17 in Words
Saying the table aloud is how most learners lock it in, so here is the spoken form for the first ten rows.
One time 17 is 17
Two times 17 is 34
Three times 17 is 51
Four times 17 is 68
Five times 17 is 85
Six times 17 is 102
Seven times 17 is 119
Eight times 17 is 136
Nine times 17 is 153
Ten times 17 is 170
What Is the 17 Times Table?
The 17 times table is the list of products you get when you multiply 17 by the whole numbers 1, 2, 3, and onward. Multiplication here is repeated addition, so each row adds one more 17 to the row above it.
That build looks like this:
$17$
$17 + 17 = 34$
$17 + 17 + 17 = 51$
$17 + 17 + 17 + 17 = 68$
Seventeen is a prime number, so it has no smaller whole-number factors to lean on, which is why the splitting trick below does most of the lifting.
Multiples of 17
The first twelve multiples of 17 are:
17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204.
Every entry in the table is a multiple of 17, and because 17 is prime, the only whole numbers that divide a multiple cleanly are 1, 17, and that multiplier. The multiples alternate odd and even, since 17 is odd: $17 \times 1$ is odd, $17 \times 2$ is even, and so on.
Tips and Tricks to Memorize the 17 Times Table
Because 17 is prime, the strongest tricks lean on place value and on the table just below it. These four do the most work.
Split 17 as 10 + 7. Break 17 into a tens part and a sevens part: $17 \times n = 10 \times n + 7 \times n$. Take $17 \times 6$: $10 \times 6 = 60$ and $7 \times 6 = 42$, then $60 + 42 = 102$. The same split handles $17 \times 13 = 130 + 91 = 221$.
Build from the 16 times table. Since $17 = 16 + 1$, add one more multiplier to each entry of the 16 table: $16 \times 7 = 112$, so $17 \times 7 = 112 + 7 = 119$.
Step up by 17 each time. Once you have one row, the next is just +17: from $17 \times 4 = 68$, add 17 to reach $17 \times 5 = 85$.
Watch the units run through every digit. Across the first ten multiples the units digits are 7, 4, 1, 8, 5, 2, 9, 6, 3, 0, hitting every digit from 0 to 9 exactly once before repeating.
How to Read and Use the 17 Times Table
Read a row left to right: $17 \times 6 = 102$ is "seventeen multiplied by six equals one hundred two." The first factor is the group size, the second factor is how many groups, and the product is the total.
To learn it, skip-count aloud in seventeens, chant the rows in order, then test yourself out of order so you are recalling, not reciting. Because 17 is prime, there is no doubling or tripling shortcut from a smaller table, so leaning on the $10n + 7n$ split and the build-from-16 method is the reliable way through.
Where the 17 Times Table Appears
Seventeen shows up wherever counts come in seventeens: a haiku's syllable count is 17, so stacking haiku scales in multiples of 17. It appears in nature too, where some cicada broods emerge on a 17-year cycle, a prime gap that helps them dodge predators, so generations land on multiples of 17 years. Anyone tallying objects in groups of seventeen is reading straight off this table.
Solved Examples
Example 1
What is 17 × 4?
Use the split-as-10-plus-7 method.
$10 \times 4 = 40$
$7 \times 4 = 28$
$40 + 28 = 68$
Final answer: $17 \times 4 = 68$.
Example 2
A book has 17 pages per chapter. How many pages are in 6 chapters?
The rusher rounds 17 up to 20 and multiplies: $20 \times 6 = 120$ pages.
That breaks, because rounding up added 3 to every chapter, so the count is $3 \times 6 = 18$ too high.
Use the split instead: $10 \times 6 = 60$ and $7 \times 6 = 42$, then $60 + 42 = 102$.
Final answer: 102 pages.
Example 3
Find 17 × 13.
Split it with the place-value method.
$10 \times 13 = 130$
$7 \times 13 = 91$
$130 + 91 = 221$
Final answer: $17 \times 13 = 221$.
Example 4
17 times what equals 289?
Divide to find the missing factor.
$289 \div 17 = 17$
Final answer: $17 \times 17 = 289$.
Example 5
One haiku has 17 syllables. How many syllables are in 12 haiku?
$17 \times 12 = (10 \times 12) + (7 \times 12) = 120 + 84 = 204$
Final answer: 204 syllables.
Common Mistakes
Mistake 1: Rounding 17 up and forgetting to correct
Where it slips in: Treating 17 as 20 to make the multiplication easier, then not subtracting the extra.
Don't do this: Writing $17 \times 6 = 120$ from $20 \times 6$.
The correct way: If you round up to 20, subtract the $3 \times 6 = 18$ you added: $120 - 18 = 102$. Or split as $10n + 7n$ to avoid the correction.
Mistake 2: Adding only the tens part of the split
Where it slips in: Using $17n = 10n + 7n$ but stopping after the easy $10n$ step.
Don't do this: Writing $17 \times 8 = 80$ and forgetting the $7 \times 8 = 56$.
The correct way: Always add both pieces: $80 + 56 = 136$.
Practice Questions
$17 \times 3 = $ ?
$17 \times 9 = $ ?
$17 \times 13 = $ ?
A row has 17 seats. How many seats in 5 rows?
$17 \times $ ? $= 204$
Which is larger, $17 \times 12$ or $12 \times 17$?
$17 \times 20 = $ ?
Answers: 1) 51 2) 153 3) 221 4) 85 seats 5) 12 6) equal, both 204 7) 340
Related Multiplication Tables
Tables from 1 to 20 hub — every table side by side.
16 times table — add the multiplier to each row to reach the 17s.
18 times table — the next table up.
For a teaching approach, see how to teach multiplication.
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