Sumwise

461 Times (461×) Multiplication Table

461 times table, 1 to 20

461 × 1461
461 × 2922
461 × 31,383
461 × 41,844
461 × 52,305
461 × 62,766
461 × 73,227
461 × 83,688
461 × 94,149
461 × 104,610
461 × 115,071
461 × 125,532
461 × 135,993
461 × 146,454
461 × 156,915
461 × 167,376
461 × 177,837
461 × 188,298
461 × 198,759
461 × 209,220

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: 461 × k = 460 × k + 1 × k.
  • Each answer is 461 more than the one before, so you can count on in steps of 461.

Building it from tables you already know

To multiply 461 by 9, multiply by 10 and take one 461 away: 4,610 − 461 = 4,149. To multiply by 11, multiply by 10 and add one more 461: 4,610 + 461 = 5,071. Multiplying by 4 is doubling twice: 461 → 922 → 1,844.

Every multiple of 461 is at least 461, so there are none below 100 and 2 below 1,000. A number is in the 461 times table exactly when it divides by 461 with no remainder.

Odd, even and the last digit

Because 461 is odd, the answers alternate between odd and even: 461 × 1 = 461 is odd, 461 × 2 = 922 is even, and so on. Multiplying by 10 always puts a zero on the end: 461 × 10 = 4,610, and 461 × 100 = 46,100. Multiplying by 5 is half of multiplying by 10: half of 4,610 is 2,305.

Using the 461 times table to divide

Every fact also works backwards: because 461 × 7 = 3,227, you know 3,227 ÷ 461 = 7 and 3,227 ÷ 7 = 461. Practising the table and its division facts together halves the work.

461 times table practice worksheet

  1. 461 × 9 = ______
  2. 461 × 5 = ______
  3. 461 × 5 = ______
  4. 461 × 10 = ______
  5. 461 × 2 = ______
  6. 461 × 9 = ______
  7. 461 × 8 = ______
  8. 461 × 11 = ______
  9. 461 × 3 = ______
  10. 461 × 4 = ______
  11. 461 × 7 = ______
  12. 461 × 6 = ______
Answer key
  1. 4,149
  2. 2,305
  3. 2,305
  4. 4,610
  5. 922
  6. 4,149
  7. 3,688
  8. 5,071
  9. 1,383
  10. 1,844
  11. 3,227
  12. 2,766

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 461 pencils. How many pencils are in 7 boxes?
    Answer7 × 461 = 3,227 pencils.
  2. Tickets cost $461 each. How much do 10 tickets cost?
    Answer10 × $461 = $4,610.
  3. 2,305 chairs are set out in rows of 461. How many rows are there?
    Answer2,305 ÷ 461 = 5 rows.
  4. A plant grows 461 millimetres a week. How much does it grow in 6 weeks?
    Answer6 × 461 = 2,766 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 461 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 461 × 12?

5,532.

What is half of 461 × 8?

461 × 8 = 3,688, and half of that is 1,844, which is 461 × 4. Halving one factor halves the answer.

What is 461 times 0?

0. Any number multiplied by zero is zero, because zero groups of 461 contain nothing.

What is 461 × 7 and 461 × 8?

461 × 7 = 3,227 and 461 × 8 = 3,688. These two are the facts most people find hardest, so they are worth practising on their own.

Is 6,915 in the 461 times table?

Yes: 6,915 ÷ 461 = 15 with no remainder. 6,916 is not, because dividing it by 461 leaves a remainder of 1.

How do I learn the 461 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.