If a number p is exactly divisible by q, then q is a ________of p and p `div` q will have _______ as the remainder.

Options

A. multiple, one
B. factor, one
C. factor, zero
D. multiple, zero

Answer

To solve the question, we need to fill in the blanks based on the properties of divisibility.

1. **Understanding the concept of divisibility**:
- If a number \( p \) is exactly divisible by another number \( q \), it means that when you divide \( p \) by \( q \), there is no remainder left.

2. **Identifying the first blank**:
- In mathematical terms, if \( p \) is divisible by \( q \), we say that \( q \) is a **divisor** of \( p**. - Therefore, we fill in the first blank with **divisor**. 3. **Identifying the second blank**: - Since \( p \) is exactly divisible by \( q \), when we perform the division \( p \div q \), the remainder will be **0**.
- Thus, we fill in the second blank with **0**.

Putting it all together, the complete sentence is:
"If a number \( p \) is exactly divisible by \( q \), then \( q \) is a **divisor** of \( p \) and \( p \div q \) will have **0** as the remainder."