Question

which of the following number dose not divide3630​

Answer 1

Answer:

The prime factorization of 3630:

3630=2×3×5×11

2

we require divisors which have a remainder of 1 when divided by 4

⟹ odd divisors i.e., 1,3,5,11,11

2

possible divisors are

1 ✓

1×3=3

1×5=5 ✓

1×11=11

1×121=121 ✓

3×5=15

3×11=33 ✓

3×121=363 ✓

5×11=55

5×121=605 ✓

all remaining odd divisors will repeat the above numbers as such only 6

numbers are divisors which divided by 4 leaves a remainder 1