Long Multiplication: 71 × 8

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 71 × 8?

Answer

71 × 8 = 568

71 × 8 and 8 × 71 are the same product — the order of the factors never changes the answer, only the working. Below, 71 is multiplied by 8 in a column, digit by digit.

71 × 8 in a Column

The multiplicand goes on top, the multiplier underneath, both aligned on the right. The multiplier has a single digit, so there is one partial product and the answer goes straight under the line.

  71
×  8
 568
71 × 8 = 568

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 8: 71 × 8 = 568.

  • 1 × 8 = 8. Write 8.
  • 7 × 8 = 56. Write 6 and carry 5.
  • No digits are left, so the carried 5 is written in front: the partial product is 568.

71 × 8

=

568

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 568 ÷ 8 = 71 must come out exactly, with no remainder.

Fractions are a different calculation. Both factors here are whole numbers; for 2/3 or 2 3/4 use the fraction multiplication calculator, which multiplies numerators and denominators separately.

71 × 8 is a number, not an area. If those are the sides of a room in feet, the answer is 568 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

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About "Long Multiplication Calculator" Calculator

This calculator multiplies two whole numbers the way it is done on paper: digit by digit, carrying where the column overflows, then adding the partial products together. For example, it can help you find out what is 71 × 8? (The answer is: 568). Enter the multiplicand (e.g. '71') and the multiplier (e.g. '8') and hit the button. The order of the two numbers does not matter — 71 × 8 and 8 × 71 are the same product — so either number can go on top. Fractions and mixed numbers belong to the fraction multiplication calculator, and the reverse operation is long division.

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

Products of 71

MultiplicationProduct
61 × 8488
62 × 8496
63 × 8504
64 × 8512
65 × 8520
66 × 8528
67 × 8536
68 × 8544
69 × 8552
70 × 8560
71 × 8568
72 × 8576
73 × 8584
74 × 8592
75 × 8600
76 × 8608
77 × 8616
78 × 8624
79 × 8632
80 × 8640

FAQ

What is 71 × 8?

71 × 8 = 568

Is 71 × 8 the same as 8 × 71?

Yes. Multiplication is commutative, so both come to 568. Only the working differs: this page multiplies by 8, which gives a single partial product.

How do you check that 71 × 8 = 568?

Divide the product back by one of the factors: 568 ÷ 8 = 71 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 71 × 8?

There is only one: the multiplier 8 has a single digit, so 71 × 8 = 568 is written straight under the line, with no addition step.

See Also