Long Multiplication: 45 × 7

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 45 × 7?

Answer

45 × 7 = 315

45 × 7 and 7 × 45 are the same product — the order of the factors never changes the answer, only the working. Below, 45 is multiplied by 7 in a column, digit by digit.

45 × 7 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.

  45
×  7
 315
45 × 7 = 315

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 7: 45 × 7 = 315.

  • 5 × 7 = 35. Write 5 and carry 3.
  • 4 × 7 = 28, plus the carried 3 makes 31. Write 1 and carry 3.
  • No digits are left, so the carried 3 is written in front: the partial product is 315.

45 × 7

=

315

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 315 ÷ 7 = 45 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.

45 × 7 is a number, not an area. If those are the sides of a room in feet, the answer is 315 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 45 × 7? (The answer is: 315). Enter the multiplicand (e.g. '45') and the multiplier (e.g. '7') and hit the button. The order of the two numbers does not matter — 45 × 7 and 7 × 45 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 45

MultiplicationProduct
35 × 7245
36 × 7252
37 × 7259
38 × 7266
39 × 7273
40 × 7280
41 × 7287
42 × 7294
43 × 7301
44 × 7308
45 × 7315
46 × 7322
47 × 7329
48 × 7336
49 × 7343
50 × 7350
51 × 7357
52 × 7364
53 × 7371
54 × 7378

FAQ

What is 45 × 7?

45 × 7 = 315

Is 45 × 7 the same as 7 × 45?

Yes. Multiplication is commutative, so both come to 315. Only the working differs: this page multiplies by 7, which gives a single partial product.

How do you check that 45 × 7 = 315?

Divide the product back by one of the factors: 315 ÷ 7 = 45 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 45 × 7?

There is only one: the multiplier 7 has a single digit, so 45 × 7 = 315 is written straight under the line, with no addition step.

See Also