Question

What is the largest odd number that is a factor of 860?
A.143
B.115
C.215
D.243

Answer 1

Hint: Find the factors of the number 860, and out that multiply all the odd number of the factors will fetch you the largest odd number that is a factor of 860.

Complete step-by-step answer:
The factors of the numbers 860 are 2, 2, 5, and 43, i.e. 860=$2 \times 2 \times 5 \times 43$.
When Two even numbers are multiplied the resultant number will fetch you an even number.
Example: $2 \times 2 = 4$ which is an even number.
$86 \times 44 = 3784$which is an even number.
When Two odd numbers are multiplied the resultant number will fetch you an odd number.
Example: $3 \times 3 = 9$,which is an odd number.
When an even number and an odd number are multiplied the resultant number will fetch you an even number.
Example: $7 \times 8 = 56$, which is an even number.
So, to get the highest factor of the number 860, all odd numbers of the factors should be multiplied.
So, on Multiplication of all the odd number i.e. 5 and 43,
$43 \times 5 = 215$,
The largest odd number factor of 860 is 215.
So, the largest odd number that is a factor of 860 is 215 and option C is correct.

Note: Product of two odd numbers will result in an odd number, product of two even numbers will result in an even number, and product of an odd number and a even number will result in an even number.