7 times 15 is 105 — with the shortcut, the division facts and a drill to make it stick
7 × 15 = 105. That is the short answer, and it is the same answer whichever way round you write the two numbers. Below is where 105 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".
7 × 15 = 105. Said out loud in the way most classrooms say it: Seven fifteens are one hundred and five.
15 + 15 + 15 + 15 + 15 + 15 + 15 = 105 — that is seven fifteens added together.
Written the other way round the answer does not change. 15 × 7 = 105 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 7 × 15 and you have 15 × 7 for free.
Fifteen is ten plus half of ten. Ten sevens are 70, half of that is 35, and 70 + 35 = 105.
Both factors are odd, so the answer has to be odd as well. 105 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 7, 15 and 105: 7 × 15 = 105; 15 × 7 = 105; 105 ÷ 7 = 15; 105 ÷ 15 = 7.
Learning them as one family rather than four separate things is the single biggest shortcut in times-table practice. If you can answer "105 divided by 7" as fast as you can answer "7 times 15", the fact is genuinely learned rather than just recognised.
In the 7 times table, 105 is the fifteenth step: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105.
In the 15 times table it is the seventh step instead: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180.
Seeing the same number arrive from two directions is what makes it stick. 105 is a landmark in both rows, so whichever table you are drilling you meet it again.
7 × 14 = 98, 7 × 16 = 112, 6 × 15 = 90, 8 × 15 = 120. 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 seven adds 7 to the running total, and each extra fifteen adds 15. So if 7 × 15 = 105 is solid, you can reach 7 × 16 by adding 7 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.
7 times 15 is 105. In words, seven fifteens are one hundred and five.
15 times 7 is also 105. Swapping the two factors never changes the answer, so 15 × 7 and 7 × 15 both come to 105.
105 ÷ 7 = 15, because 7 × 15 = 105. The matching fact is 105 ÷ 15 = 7.
Fifteen is ten plus half of ten. Ten sevens are 70, half of that is 35, and 70 + 35 = 105.
Yes. 105 is the fifteenth number in the 7 times table, and the seventh number in the 15 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.