Sumwise

402 Times (402×) Multiplication Table

402 times table, 1 to 20

402 × 1402
402 × 2804
402 × 31,206
402 × 41,608
402 × 52,010
402 × 62,412
402 × 72,814
402 × 83,216
402 × 93,618
402 × 104,020
402 × 114,422
402 × 124,824
402 × 135,226
402 × 145,628
402 × 156,030
402 × 166,432
402 × 176,834
402 × 187,236
402 × 197,638
402 × 208,040

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 2, 4, 6, 8, 0.
  • Every answer is even, because 402 is even.
  • Split it into tens and ones: 402 × k = 400 × k + 2 × k.
  • Each answer is 402 more than the one before, so you can count on in steps of 402.

Building it from tables you already know

Every answer in the 402 times table is double the answer in the 201 times table: 201 × 6 = 1,206, so 402 × 6 = 2,412. To multiply 402 by 9, multiply by 10 and take one 402 away: 4,020 − 402 = 3,618. To multiply by 11, multiply by 10 and add one more 402: 4,020 + 402 = 4,422. Multiplying by 4 is doubling twice: 402 → 804 → 1,608.

Every multiple of 402 is at least 402, so there are none below 100 and 2 below 1,000. A number is in the 402 times table exactly when it divides by 402 with no remainder.

Odd, even and the last digit

Because 402 is even, every answer in its table is even, which is a quick way to catch a wrong answer. Multiplying by 10 always puts a zero on the end: 402 × 10 = 4,020, and 402 × 100 = 40,200. Multiplying by 5 is half of multiplying by 10: half of 4,020 is 2,010.

Using the 402 times table to divide

Every fact also works backwards: because 402 × 7 = 2,814, you know 2,814 ÷ 402 = 7 and 2,814 ÷ 7 = 402. Practising the table and its division facts together halves the work.

402 times table practice worksheet

  1. 402 × 6 = ______
  2. 402 × 5 = ______
  3. 402 × 11 = ______
  4. 402 × 5 = ______
  5. 402 × 8 = ______
  6. 402 × 11 = ______
  7. 402 × 1 = ______
  8. 402 × 9 = ______
  9. 402 × 7 = ______
  10. 402 × 3 = ______
  11. 402 × 10 = ______
  12. 402 × 5 = ______
Answer key
  1. 2,412
  2. 2,010
  3. 4,422
  4. 2,010
  5. 3,216
  6. 4,422
  7. 402
  8. 3,618
  9. 2,814
  10. 1,206
  11. 4,020
  12. 2,010

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 402 pencils. How many pencils are in 4 boxes?
    Answer4 × 402 = 1,608 pencils.
  2. Tickets cost $402 each. How much do 10 tickets cost?
    Answer10 × $402 = $4,020.
  3. 2,010 chairs are set out in rows of 402. How many rows are there?
    Answer2,010 ÷ 402 = 5 rows.
  4. A plant grows 402 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 402 = 4,020 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 402 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 402 × 12?

4,824.

What is half of 402 × 8?

402 × 8 = 3,216, and half of that is 1,608, which is 402 × 4. Halving one factor halves the answer.

What is 402 times 0?

0. Any number multiplied by zero is zero, because zero groups of 402 contain nothing.

What is 402 × 7 and 402 × 8?

402 × 7 = 2,814 and 402 × 8 = 3,216. These two are the facts most people find hardest, so they are worth practising on their own.

Is 6,030 in the 402 times table?

Yes: 6,030 ÷ 402 = 15 with no remainder. 6,031 is not, because dividing it by 402 leaves a remainder of 1.

How do I learn the 402 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.