Consider the following statements:
1. The sum of 5 consecutive integers can be 100.
2. The product of three consecutive natural numbers can be equal to their sum.
Which of the above statements is/are correct?

The correct answer is Both 1 and 2.

Let us analyze both statements step-by-step to check their correctness.

Analyzing Statement 1: "The sum of 5 consecutive integers can be 100."

Let the 5 consecutive integers be represented as:
$x-2$, $x-1$, $x$, $x+1$, and $x+2$, where $x$ is an integer.

The sum of these 5 consecutive integers is:

$(x-2)+(x-1)+x+(x+1)+(x+2)=5x$

We are given that this sum can be equal to 100:

$5x=100$

$x=20$

Since $x=20$ is an integer, the 5 consecutive integers are 18, 19, 20, 21, and 22.
Checking their sum:
$18+19+20+21+22=100$
Thus, Statement 1 is correct.

Analyzing Statement 2: "The product of three consecutive natural numbers can be equal to their sum."

Natural numbers are positive integers ($1,2,3,\dots$).

Consider the first three consecutive natural numbers: 1, 2, and 3.

Sum of these three numbers:
$1+2+3=6$

Product of these three numbers:
$1\times 2\times 3=6$

Since the sum ($6$) is equal to the product ($6$), Statement 2 is correct.

Since both statements 1 and 2 are correct, the correct choice is Both 1 and 2.