13 times 13 is 169 — with the shortcut, the division facts and a drill to make it stick
13 × 13 = 169. That is the short answer, and it is the same answer whichever way round you write the two numbers. Below is where 169 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".
13 × 13 = 169. Said out loud in the way most classrooms say it: Thirteen thirteens are one hundred and sixty-nine.
Multiplying is repeated addition, so 13 × 13 is thirteen thirteens added together, or equally thirteen thirteens added together. Both routes land on 169.
Written the other way round the answer does not change. 13 × 13 = 169 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 13 × 13 and you have 13 × 13 for free.
Split the thirteen into 10 + 3. Ten thirteens are 130, three thirteens are 39, and 130 + 39 = 169.
13 × 13 is a square number: 169 is what you get when 13 is multiplied by itself, which is why the square root of 169 is 13.
Both factors are odd, so the answer has to be odd as well. 169 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 13, 13 and 169: 13 × 13 = 169; 13 × 13 = 169; 169 ÷ 13 = 13; 169 ÷ 13 = 13.
Learning them as one family rather than four separate things is the single biggest shortcut in times-table practice. If you can answer "169 divided by 13" as fast as you can answer "13 times 13", the fact is genuinely learned rather than just recognised.
In the 13 times table, 169 is the thirteenth step: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169.
In the 13 times table it is the thirteenth step instead: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169.
Seeing the same number arrive from two directions is what makes it stick. 169 is a landmark in both rows, so whichever table you are drilling you meet it again.
13 × 12 = 156, 13 × 14 = 182, 12 × 13 = 156, 14 × 13 = 182. 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 thirteen adds 13 to the running total, and each extra thirteen adds 13. So if 13 × 13 = 169 is solid, you can reach 13 × 14 by adding 13 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.
13 times 13 is 169. In words, thirteen thirteens are one hundred and sixty-nine.
13 times 13 is also 169. Swapping the two factors never changes the answer, so 13 × 13 and 13 × 13 both come to 169.
169 ÷ 13 = 13, because 13 × 13 = 169. The matching fact is 169 ÷ 13 = 13.
Split the thirteen into 10 + 3. Ten thirteens are 130, three thirteens are 39, and 130 + 39 = 169.
Yes. 169 is the thirteenth number in the 13 times table, and the thirteenth number in the 13 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.