The product 672 x 36 x 25 equals

Options

A. the number of seconds in 5 days
B. the number of seconds in 1 week
C. the number of minutes in 7 weeks
D. the number of houry in 60 days

Answer

To solve the problem \( 672 \times 36 \times 25 \), we can break it down step by step.

### Step 1: Break down the numbers
We can simplify the multiplication by breaking down the numbers into their prime factors or easier components.

- \( 672 = 7 \times 96 \)
- \( 36 = 6 \times 6 = 6^2 \)
- \( 25 = 5 \times 5 \)

### Step 2: Rewrite the expression
Now we can rewrite the expression using these factors:

\[ 672 \times 36 \times 25 = (7 \times 96) \times (6^2) \times (5^2) \]

### Step 3: Calculate \( 96 \times 36 \)
Next, we can calculate \( 96 \times 36 \):

\[ 96 \times 36 = 3456 \]

### Step 4: Multiply by \( 25 \)
Now, we multiply \( 3456 \) by \( 25 \):

\[ 3456 \times 25 \]

To do this, we can break it down further:

\[ 3456 \times 25 = 3456 \times (20 + 5) = 3456 \times 20 + 3456 \times 5 \]

Calculating each part:

1. \( 3456 \times 20 = 69120 \)
2. \( 3456 \times 5 = 17280 \)

Now, add these two results together:

\[ 69120 + 17280 = 86400 \]

### Final Answer
Thus, the product \( 672 \times 36 \times 25 = 86400 \).

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