Question

2 the factors of 48 are: 1 and __ 2 and 4 and 8 and 16 and __ (with rectangle sketches labeled 1, 2, 4, 8, 16, 48, and handwritten equations like 1×48=48, 2×24=48, 12×4=48, 6×8=48, 3×16=48) 3 is 48 a prime number or a composite number? how do you know?

Explanation:

Question 2:

Step1: Find factor with 1

Since \(1\times48 = 48\), the missing factor with 1 is 48.

Step2: Find factor with 2

We know that \(2\times x = 48\), so \(x=\frac{48}{2}=24\). The missing factor with 2 is 24.

Step3: Find factor with 4

We know that \(4\times x = 48\), so \(x=\frac{48}{4}=12\). The missing factor with 4 is 12.

Step4: Find factor with 8

We know that \(8\times x = 48\), so \(x=\frac{48}{8}=6\). The missing factor with 8 is 6.

Step5: Find factor with 16

We know that \(16\times x = 48\), so \(x=\frac{48}{16}=3\). The missing factor with 16 is 3.

A prime number has exactly two distinct positive divisors: 1 and itself. A composite number has more than two distinct positive divisors. For 48, we found factors like 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Since it has more than two factors, it is composite.

Answer:

1 and 48; 2 and 24; 4 and 12; 8 and 6; 16 and 3

Question 3: