Question

how many different factors does 48 have , excluding 1 and 48

A. 12
B. 4
C. 8
D. 10
E. none of these

Answer 1

Answer:

Option(C) 8 is the correct answer.

Step-by-step explanation:

Explanation:

In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. In this situation, one can also state that n is a multiple of m.

Step 1:

We have a number which is 48.

Now, according to the question we need to find out the factors of 48.

On dividing 48 by 2 we get 24 as a quotient and the remainder becomes zero.

Similarly, on dividing 48 by 3,4,6,8,12,16, and 24  the remainder becomes zero.

So, the factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Therefore, total 8 different factors 48 have.

Final answer:

Hence, 2,3,4,6,8,12,16 and 24 are the  factors of 48.

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Answer 2

Answer:

Option (C) is the correct answer.

Step-by-step explanation:

Factors of a number:-

• Any whole number that divides the original number evenly (exactly).
• In simple words, those numbers that divides the original number and leaves the remainder 0.

Step 1 of 1

We need to find the number of factors of 48 excluding 1 and 48.

Consider the number as follows:

48

Write all the factors of the number 48.

This means all those numbers which divides 48 completely or leaving no remainder.

$1, 2, 3, 4, 6, 8, 12, 16, 24$ and 48 are the factors of 48.

But according to the question,

Exclude the factors 1 and 48. So, we get

$2, 3, 4, 6, 8, 12, 16, 24$

This implies there are 8 factors of 48 excluding 1 and 48.

Thus, the option (C) is correct and rest all the other options are incorrect.

Final answer: Option (C) is the correct answer.

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