Long Multiplication: 45 × 3

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 45 × 3?

Answer

45 × 3 = 135

45 × 3 and 3 × 45 are the same product — the order of the factors never changes the answer, only the working. Below, 45 is multiplied by 3 in a column, digit by digit.

45 × 3 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
×  3
 135
45 × 3 = 135

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 3: 45 × 3 = 135.

  • 5 × 3 = 15. Write 5 and carry 1.
  • 4 × 3 = 12, plus the carried 1 makes 13. Write 3 and carry 1.
  • No digits are left, so the carried 1 is written in front: the partial product is 135.

45 × 3

=

135

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 135 ÷ 3 = 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 × 3 is a number, not an area. If those are the sides of a room in feet, the answer is 135 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 × 3? (The answer is: 135). Enter the multiplicand (e.g. '45') and the multiplier (e.g. '3') and hit the button. The order of the two numbers does not matter — 45 × 3 and 3 × 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 × 3105
36 × 3108
37 × 3111
38 × 3114
39 × 3117
40 × 3120
41 × 3123
42 × 3126
43 × 3129
44 × 3132
45 × 3135
46 × 3138
47 × 3141
48 × 3144
49 × 3147
50 × 3150
51 × 3153
52 × 3156
53 × 3159
54 × 3162

FAQ

What is 45 × 3?

45 × 3 = 135

Is 45 × 3 the same as 3 × 45?

Yes. Multiplication is commutative, so both come to 135. Only the working differs: this page multiplies by 3, which gives a single partial product.

How do you check that 45 × 3 = 135?

Divide the product back by one of the factors: 135 ÷ 3 = 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 × 3?

There is only one: the multiplier 3 has a single digit, so 45 × 3 = 135 is written straight under the line, with no addition step.

See Also