Sumwise

361 Times (361×) Multiplication Table

361 times table, 1 to 20

361 × 1361
361 × 2722
361 × 31,083
361 × 41,444
361 × 51,805
361 × 62,166
361 × 72,527
361 × 82,888
361 × 93,249
361 × 103,610
361 × 113,971
361 × 124,332
361 × 134,693
361 × 145,054
361 × 155,415
361 × 165,776
361 × 176,137
361 × 186,498
361 × 196,859
361 × 207,220

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
  • Split it into tens and ones: 361 × k = 360 × k + 1 × k.
  • Each answer is 361 more than the one before, so you can count on in steps of 361.

Building it from tables you already know

To multiply 361 by 9, multiply by 10 and take one 361 away: 3,610 − 361 = 3,249. To multiply by 11, multiply by 10 and add one more 361: 3,610 + 361 = 3,971. Multiplying by 4 is doubling twice: 361 → 722 → 1,444.

Every multiple of 361 is at least 361, so there are none below 100 and 2 below 1,000. A number is in the 361 times table exactly when it divides by 361 with no remainder.

Odd, even and the last digit

Because 361 is odd, the answers alternate between odd and even: 361 × 1 = 361 is odd, 361 × 2 = 722 is even, and so on. Multiplying by 10 always puts a zero on the end: 361 × 10 = 3,610, and 361 × 100 = 36,100. Multiplying by 5 is half of multiplying by 10: half of 3,610 is 1,805.

Using the 361 times table to divide

Every fact also works backwards: because 361 × 7 = 2,527, you know 2,527 ÷ 361 = 7 and 2,527 ÷ 7 = 361. Practising the table and its division facts together halves the work.

361 times table practice worksheet

  1. 361 × 3 = ______
  2. 361 × 10 = ______
  3. 361 × 11 = ______
  4. 361 × 8 = ______
  5. 361 × 8 = ______
  6. 361 × 11 = ______
  7. 361 × 8 = ______
  8. 361 × 12 = ______
  9. 361 × 11 = ______
  10. 361 × 6 = ______
  11. 361 × 8 = ______
  12. 361 × 11 = ______
Answer key
  1. 1,083
  2. 3,610
  3. 3,971
  4. 2,888
  5. 2,888
  6. 3,971
  7. 2,888
  8. 4,332
  9. 3,971
  10. 2,166
  11. 2,888
  12. 3,971

Word problems

Times tables are most useful when you can spot them in a question. Try these, then open each one to check:

  1. A box holds 361 pencils. How many pencils are in 9 boxes?
    Answer9 × 361 = 3,249 pencils.
  2. Tickets cost $361 each. How much do 5 tickets cost?
    Answer5 × $361 = $1,805.
  3. 1,444 chairs are set out in rows of 361. How many rows are there?
    Answer1,444 ÷ 361 = 4 rows.
  4. A plant grows 361 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 361 = 3,610 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 361 when the page is opened, so every fact on it is exact. Use the options above the worksheet to change the number of questions or the largest multiplier.

Questions

What is 361 × 12?

4,332.

What is half of 361 × 8?

361 × 8 = 2,888, and half of that is 1,444, which is 361 × 4. Halving one factor halves the answer.

What is 361 times 0?

0. Any number multiplied by zero is zero, because zero groups of 361 contain nothing.

What is 361 × 7 and 361 × 8?

361 × 7 = 2,527 and 361 × 8 = 2,888. These two are the facts most people find hardest, so they are worth practising on their own.

Is 5,415 in the 361 times table?

Yes: 5,415 ÷ 361 = 15 with no remainder. 5,416 is not, because dividing it by 361 leaves a remainder of 1.

How do I learn the 361 times table quickly?

Learn it in order first, then use the patterns above and practise mixed questions; a few minutes a day works better than one long session.