Question

What numbers between 1 and 10 exactly divide the number 5040?*

Answer 1

Every integer between 1 and 10 is a divisor of 5040. This is determined by dividing 5040 by each number in the range and confirming that each division results in a whole number.

Step-by-step explanation:

The question 'What numbers between 1 and 10 exactly divide the number 5040?' concerns identifying which integers within a specific range are divisors of a given number. To find these numbers, we can perform a simple test of division for each integer between 1 and 10 against number 5040.

Let's begin:

• 1 divides 5040 exactly (5040 divided by 1 equals 5040).
• 2 divides 5040 exactly (5040 divided by 2 equals 2520).
• 3 divides 5040 exactly (5040 divided by 3 equals 1680).
• 4 divides 5040 exactly (5040 divided by 4 equals 1260).
• 5 divides 5040 exactly (5040 divided by 5 equals 1008).
• 6 divides 5040 exactly (5040 divided by 6 equals 840).
• 7 divides 5040 exactly (5040 divided by 7 equals 720).
• 8 divides 5040 exactly (5040 divided by 8 equals 630).
• 9 divides 5040 exactly (5040 divided by 9 equals 560).
• 10 divides 5040 exactly (5040 divided by 10 equals 504).

Therefore, every number from 1 to 10 is a divisor of 5040.