How many factors of 1230356435 are odd number?

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06 Jun 2019 Factors

How many factors of 1230356435 are odd number?

OPtion

1) 12
2) 80
3) 16
4) 60
5) 30
6) 14
7) 20
8) 15
9) 24
10) None of these

Solution

1230356435 = 5^1 * 7^5 *11^4

Any factor of this number should be of the form 5^a * 7^b * 11^c.

For the factor to be a odd number a,b,c can take any value as product of 3 odd numbers would always be odd

a can take values 0, 1
b can take values 0, 1, 2, 3, 4, 5
and c can take values 0, 1, 2, 3, 4

Total number of odd factor = 2 * 6 * 5 = 60

Correct Option: 4 Best Solution (2)

Varun   5 years AGO

1230356435 = 5* 7^5* 11^4
So odd factors count = (1+1)*(5+1)*(4+1) = 2*6*5 = 60
= Option (4)

Like? Yes (2) | No   

G.S.Kantharao   5 years AGO

1230356435=5^1*7^5*11^4
All factors are odd numbers
Total Number of factors =2*6*5=60
Right option is 4👈

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