Which of the following numbers will completely divide 710 + 711 + 712 + 713?

Question: Which of the following numbers will completely divide 710 + 711 + 712 + 713?Solution:Factors of a number refers to those values that can exactly divide the original number without leaving a remainder. 710 + 711 + 712 + 713 = (1 + 7 + 72 + 73) 710 = (1 + 7 + 49 + 343) 710 = 400 × 710 = 24 × 52 × 710 So, the factors are 2, 4, 5, 7, 8, 10 etc. So, out of given options, required factor = 2 × 7 = 14 ∴ 14 will completely divide 710 + 711 + 712 + 713.