If a number is divided by 15 and gives a remainder of 8, which of the following

If a number is divided by 15 and gives a remainder of 8, which of the following numbers will also give the same remainder when divided by 15?

If a number is divided by 15 and gives a remainder of 8, which of the following numbers will also give the same remainder when divided by 15?

Step 1: Understand what it means to divide a number by 15 and get a remainder of 8. This means that when you divide the number by 15, you can express it as: number = 15 * k + 8, where k is some whole number.
Step 2: Identify the numbers that can be expressed in the same form (15 * k + 8). This means we need to find numbers that, when divided by 15, will also leave a remainder of 8.
Step 3: Start with the number 8 itself. If you divide 8 by 15, it gives a remainder of 8 (since 8 is less than 15).
Step 4: Next, add 15 to 8 to find the next number that will also give a remainder of 8. So, 8 + 15 = 23.
Step 5: Check if 23 gives a remainder of 8 when divided by 15. When you divide 23 by 15, it goes 1 time (15) with a remainder of 8. So, 23 works.
Step 6: You can keep adding 15 to find more numbers that will also give a remainder of 8, like 38 (23 + 15) or 53 (38 + 15), and so on.

Modular Arithmetic – Understanding how remainders work when dividing numbers, specifically focusing on the concept of congruences.
Divisibility Rules – Applying the rules of divisibility to determine which numbers yield the same remainder when divided by a specific divisor.