What are the DIVISORS of 48

The divisors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. In a new lesson from a Teacher we are going to see what are the divisors of 48. First we'll review the definition of a divisor of an integer. We review the divisibility criteria and then we will continue with the divisors of 48. We will finish with an exercise so that they can take ownership of the topic.

Let's start from 1 to 10.

How do we know that all numbers are divisible by 1 We can say that the first divisor of 48 is 1. So 48/1=48.

By performing the division and remembering the concept that if one number is a divisor of another, then both numbers are multiples, we can say that 1 and 48 are divisors of 48. So 48/48=1

48 is an even number, so it is a multiple of 2. since it meets your criteria. So 48/2 =24. As we said before, we find another divisor of 48 which is 24. So 48/24=2

48 is a multiple of 3 if the sum of its digits is a multiple of 3, then 4 + 8 = 12, which is a multiple of 3, therefore we find another divisor of 48. Let's see that 48/3= 16. In turn, the number 16 is also a divisor of 48. So 48/16 = 3

The last two digits of 48 are multiples of 4, therefore 4 is a factor of 48. We see that 48/4 = 12. At the same time we say that 12 is a divisor of 48, so 48/12 = 4

This number does not even end in 5 in zero, we said that it is an even number, therefore, 5 is NOT a factor of 48.

Because 48 is divisible by 2 and 3, We can affirm according to the divisibility criterion of 6, that 489 is divisible by 6. So 48/6= 8. So the number 8 is also a divisor of 48, 48/8 = 6

To check whether or not it is divisible by 7 we have to subtract the unit digit multiplied by 2 from the rest of the number, that is, in this case 4 - (8 *2 )= 12. Since the number 12 is NOT a multiple of 7, then 48 is NOT divisible by 7.

We already verified that the sum of the digits of 48 results in 12, which is NOT a multiple of 9. Therefore 9 is NOT a divisor of 48.

Finally, we check that 10 is NOT a divisor of 48 since it does not end in a zero.

List with divisors of 48

Therefore, 48 has 10 divisors And they are:

Divisors of 48:

• 1
• 2
• 3
• 4
• 6
• 8
• 12
• 16
• 24
• 48

The divisors of whole numbers are those numbers also integers that divide a number into equal parts, that is, obtaining as a result an integer in turn.

When an integer is a divisor of another integer we say that they are multiples of each other. Integers have a finite number of divisors, that is, they can be counted and are not infinite.

A divisor of a number is one that when dividing any number by that in question, we obtain as a result a whole number. Then the division has no remainder or otherwise its remainder is equal to zero.

There are divisibility criteria to establish if an integer is divisible by another.

We end this lesson with exercises that are factors of 48 with solutions.

Statement) Choose True and False accordingly

• The number 5 is a divisor of 48.
• The number 12 is a divisor of 48.
• 48 is divisible by 16.
• The number 13 is a divisor and multiple of 48.
• 2 and 3 are also factors of 48.
• 48 / 8 = 9 which is a divisor of 48.

Answers

• Fake. The 5 is NOT a divisor of 48, since the division does not result in a whole number and the divisibility criterion is not met.
• TRUE.
• TRUE.
• Fake. The number 13 is not a divisor of 48, therefore it is not a multiple of it either.
• TRUE.
• Fake. 9 is NOT a divisor of 48 and the result of the division is 6.

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