Question

4^61+4^64+4*65 is divisible by​

Answer 1

4⁶¹ + 4⁶⁴ + 4⁶⁵ = 4⁶¹ (1 + 4³ + 4⁴)

... = 4⁶¹ (1 + 64 + 256)

... = 4⁶¹ • 321

... = 4⁶¹ • 3 • 107

So it's divisible by 4, 3, and 107, in addition to any combination of these divisors.