Sumwise

1607 Times (1607×) Multiplication Table

1607 times table, 1 to 20

1607 × 11,607
1607 × 23,214
1607 × 34,821
1607 × 46,428
1607 × 58,035
1607 × 69,642
1607 × 711,249
1607 × 812,856
1607 × 914,463
1607 × 1016,070
1607 × 1117,677
1607 × 1219,284
1607 × 1320,891
1607 × 1422,498
1607 × 1524,105
1607 × 1625,712
1607 × 1727,319
1607 × 1828,926
1607 × 1930,533
1607 × 2032,140

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
  • Split it into tens and ones: 1607 × k = 1600 × k + 7 × k.
  • Each answer is 1607 more than the one before, so you can count on in steps of 1607.

Building it from tables you already know

To multiply 1607 by 9, multiply by 10 and take one 1607 away: 16,070 − 1607 = 14,463. To multiply by 11, multiply by 10 and add one more 1607: 16,070 + 1607 = 17,677. Multiplying by 4 is doubling twice: 1607 → 3,214 → 6,428.

Every multiple of 1607 is at least 1607, so there are none below 100 and 0 below 1,000. A number is in the 1607 times table exactly when it divides by 1607 with no remainder.

Odd, even and the last digit

Because 1607 is odd, the answers alternate between odd and even: 1607 × 1 = 1607 is odd, 1607 × 2 = 3,214 is even, and so on. Multiplying by 10 always puts a zero on the end: 1607 × 10 = 16,070, and 1607 × 100 = 160,700. Multiplying by 5 is half of multiplying by 10: half of 16,070 is 8,035.

Using the 1607 times table to divide

Every fact also works backwards: because 1607 × 7 = 11,249, you know 11,249 ÷ 1607 = 7 and 11,249 ÷ 7 = 1607. Practising the table and its division facts together halves the work.

1607 times table practice worksheet

  1. 1607 × 10 = ______
  2. 1607 × 12 = ______
  3. 1607 × 1 = ______
  4. 1607 × 12 = ______
  5. 1607 × 5 = ______
  6. 1607 × 3 = ______
  7. 1607 × 6 = ______
  8. 1607 × 8 = ______
  9. 1607 × 9 = ______
  10. 1607 × 12 = ______
  11. 1607 × 12 = ______
  12. 1607 × 3 = ______
Answer key
  1. 16,070
  2. 19,284
  3. 1,607
  4. 19,284
  5. 8,035
  6. 4,821
  7. 9,642
  8. 12,856
  9. 14,463
  10. 19,284
  11. 19,284
  12. 4,821

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 1607 pencils. How many pencils are in 8 boxes?
    Answer8 × 1607 = 12,856 pencils.
  2. Tickets cost $1607 each. How much do 12 tickets cost?
    Answer12 × $1607 = $19,284.
  3. 14,463 chairs are set out in rows of 1607. How many rows are there?
    Answer14,463 ÷ 1607 = 9 rows.
  4. A plant grows 1607 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 1607 = 17,677 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1607 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 1607 × 12?

19,284.

What is half of 1607 × 8?

1607 × 8 = 12,856, and half of that is 6,428, which is 1607 × 4. Halving one factor halves the answer.

What is 1607 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1607 contain nothing.

What is 1607 × 7 and 1607 × 8?

1607 × 7 = 11,249 and 1607 × 8 = 12,856. These two are the facts most people find hardest, so they are worth practising on their own.

Is 24,105 in the 1607 times table?

Yes: 24,105 ÷ 1607 = 15 with no remainder. 24,106 is not, because dividing it by 1607 leaves a remainder of 1.

How do I learn the 1607 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.