What is the greatest prime factor of 78?

1 Answer
Dec 25, 2016

1313 is the greatest prime factor of 7878.

Explanation:

Last digit of 7878 is 88, an even number and hence divisible by 22. Further, sum of the digits is 7+8=157+8=15, divisible by 33.

Hence 7878 is divisible by prime numbers 22 ad 33. Dividing 7878 by these numbers, we get 1313 and hence

78=2xx3xx1378=2×3×13

Hence, 1313 is the greatest prime factor of 7878.