17 times 19 is 323 — with the shortcut, the division facts and a drill to make it stick
17 × 19 = 323. That is the short answer, and it is the same answer whichever way round you write the two numbers. Below is where 323 comes from, the shortcut that gets you there without counting, the division facts that travel with it, and the fastest way to move it from "I can work it out" to "I just know it".
17 × 19 = 323. Said out loud in the way most classrooms say it: Seventeen nineteens are three hundred and twenty-three.
Multiplying is repeated addition, so 17 × 19 is seventeen nineteens added together, or equally nineteen seventeens added together. Both routes land on 323.
Written the other way round the answer does not change. 19 × 17 = 323 as well, because multiplication is commutative — the order of the two factors never affects the product. That halves how many facts you actually have to learn: get 17 × 19 and you have 19 × 17 for free.
Nineteen is one short of twenty. Twenty seventeens are 340, take one seventeen back and you are left with 323.
Both factors are odd, so the answer has to be odd as well. 323 is odd, which rules out a whole class of slips.
Every multiplication fact comes with a division fact on its back. These four all say the same thing about 17, 19 and 323: 17 × 19 = 323; 19 × 17 = 323; 323 ÷ 17 = 19; 323 ÷ 19 = 17.
Learning them as one family rather than four separate things is the single biggest shortcut in times-table practice. If you can answer "323 divided by 17" as fast as you can answer "17 times 19", the fact is genuinely learned rather than just recognised.
In the 17 times table, 323 is the nineteenth step: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323.
In the 19 times table it is the seventeenth step instead: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323.
Seeing the same number arrive from two directions is what makes it stick. 323 is a landmark in both rows, so whichever table you are drilling you meet it again.
17 × 18 = 306, 17 × 20 = 340, 16 × 19 = 304, 18 × 19 = 342. Those are the answers people most often give by accident when they are a beat too quick.
The gap between neighbours is worth knowing on its own: each extra seventeen adds 17 to the running total, and each extra nineteen adds 19. So if 17 × 19 = 323 is solid, you can reach 17 × 20 by adding 17 rather than starting again.
Recognising a fact and recalling it under time pressure are different skills. A fact you can work out in four seconds still costs you four seconds every time it appears inside a longer calculation.
Short daily bursts beat long sessions: a 60-second drill every day will fix a table faster than one twenty-minute sitting a week. Mix the fact you are learning in among ones you already know so recall is being tested, not the order of a list.
17 times 19 is 323. In words, seventeen nineteens are three hundred and twenty-three.
19 times 17 is also 323. Swapping the two factors never changes the answer, so 19 × 17 and 17 × 19 both come to 323.
323 ÷ 17 = 19, because 17 × 19 = 323. The matching fact is 323 ÷ 19 = 17.
Nineteen is one short of twenty. Twenty seventeens are 340, take one seventeen back and you are left with 323.
Yes. 323 is the nineteenth number in the 17 times table, and the seventeenth number in the 19 times table.
Every multiplication fact from 2 × 2 to 20 × 20 has its own page here, and the full grid is on the multiplication chart.