Question

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.What is the number? a) 80 b) 100 c) 128 d) 160

Answer 1

Answer:80

Step-by-step explanation:

Answer 2

Answer:

Option (a) is correct.

Step-by-step explanation:

Given:-

The factors of a number are $1, 2, 4, 5, 8, 10, 16, 20, 40$ and 80.

To find:-

The required number.

(a) 80

The all the factors of the number 80 are $1, 2, 4, 5, 8, 10, 16, 20, 40$ and 80.

Thus, 80 is the required number.

Hence option (a) is correct.

(b) 100

Notice that the number 100 is not divisible by 40 and 80.

Thus means the numbers 40 and 80 are not the factors of 100.

Thus, option (b) is incorrect.

(c) 128

Notice that the number 128 is not divisible by 5, 40 and 80.

Thus means the numbers 5, 40 and 80 are not the factors of 128.

Thus, option (c) is incorrect.

(d) 160

As we know,

Every number is divisible by 1 and the number itself.

Since it is given that the required number has factors $1, 2, 4, 5, 8, 10,$ $16, 20, 40$ and 80.

This implies 160 is not the factor of the desired number.

Thus, option (d) is incorrect.

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