Multiply 1572 by 123.

Answer

To solve the multiplication of 1572 by 123 step by step, we will use the traditional method of multiplication. Here’s how to do it:

### Step 1: Write the numbers in a column
```
1572
x 123
```

### Step 2: Multiply 1572 by the unit digit of 123 (which is 3)
- 3 × 2 = 6
- 3 × 7 = 21 (write 1 and carry over 2)
- 3 × 5 = 15 + 2 (carry) = 17 (write 7 and carry over 1)
- 3 × 1 = 3 + 1 (carry) = 4

So, 1572 × 3 = 4716.

### Step 3: Write the result below the line
```
1572
x 123
_______
4716 (This is 1572 × 3)
```

### Step 4: Multiply 1572 by the next digit of 123 (which is 2, in the tens place)
- Since this is in the tens place, we will add a zero at the end of the result.
- 2 × 2 = 4
- 2 × 7 = 14 (write 4 and carry over 1)
- 2 × 5 = 10 + 1 (carry) = 11 (write 1 and carry over 1)
- 2 × 1 = 2 + 1 (carry) = 3

So, 1572 × 2 = 3144, and we write it as 31440.

### Step 5: Write the result below the previous result
```
1572
x 123
_______
4716 (This is 1572 × 3)
31440 (This is 1572 × 2, shifted one position to the left)
```

### Step 6: Multiply 1572 by the last digit of 123 (which is 1, in the hundreds place)
- Since this is in the hundreds place, we will add two zeros at the end of the result.
- 1 × 2 = 2
- 1 × 7 = 7
- 1 × 5 = 5
- 1 × 1 = 1

So, 1572 × 1 = 1572, and we write it as 157200.

### Step 7: Write the result below the previous result
```
1572
x 123
_______
4716 (This is 1572 × 3)
31440 (This is 1572 × 2, shifted one position to the left)
157200 (This is 1572 × 1, shifted two positions to the left)
```

### Step 8: Add all the results together
```
4716
31440
157200
_______
193356
```

### Final Answer
1572 multiplied by 123 equals 193356.

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