def test_smallest_factor():
"""test finding smallest prime factor of a number"""
assert specs.smallest_factor(1) == 1, "Failed on n=1"
assert specs.smallest_factor(2) == 2, "Failed on n=2"
assert specs.smallest_factor(3) == 3, "Failed on n=3"
assert specs.smallest_factor(4) == 2, "Failed on smallest square"
assert specs.smallest_factor(10) == 2, "Failed on even number"
assert specs.smallest_factor(
81
) == 3, "Failed on non-prime square" #tests square where root isn't prime
assert specs.smallest_factor(49) == 7, "Failed on prime square"
assert specs.smallest_factor(23) == 23, "Failed on large prime"
assert specs.smallest_factor(63) == 3, "Failed on odd"
assert specs.smallest_factor(323) == 17, "Failed on close primes"
def test_smallest_factor():
"""
cases:
n = 15, return 3 a composite number
n = 23, return 23 (since it's prime) a prime numbers, square root of 23 is less than 5.
n = 7, return 7 square root of 7 is 3
n = 16, return 2 (NOT 4), since 2|16 = 8.
n = 221, return 13 (since 13*17 is 221)
"""
assert specs.smallest_factor(23) == 23, "failed on prime number case"
assert specs.smallest_factor(16) == 2, "failed third case"
assert specs.smallest_factor(7) == 7, "failed last case"
assert specs.smallest_factor(
221) == 13, "failed composite of prime numbers case"
assert specs.smallest_factor(15) == 3, "failed composite number case"
def test_smallest_factor():
#test cases for all conditions
assert specs.smallest_factor(1) == 1, "failed on 1"
assert specs.smallest_factor(2) == 2, "failed on 2"
assert specs.smallest_factor(3) == 3, "failed on 3"
assert specs.smallest_factor(5) == 5, "failed on 5"
assert specs.smallest_factor(6) == 2, "failed on 6"
assert specs.smallest_factor(7) == 7, "failed on 7"
assert specs.smallest_factor(4) == 2, "failed on 4"
assert specs.smallest_factor(9) == 3, "failed on 9"
assert specs.smallest_factor(10) == 2, "failed on 10"
assert specs.smallest_factor(11) == 11, "failed on 11"
assert specs.smallest_factor(12) == 2, "failed on 12"
def test_smallest_factor():
assert specs.smallest_factor(1) == 1, "failed on base case n = 1"
assert specs.smallest_factor(2) == 2, "failed on base case n = 2"
assert specs.smallest_factor(3) == 3, "failed on base case n = 3"
assert specs.smallest_factor(4) == 2, "failed on composition n = 4 = 2*2"
assert specs.smallest_factor(5) == 5, "failed on base case n = 5"
assert specs.smallest_factor(6) == 2, "failed on composition n = 6 = 3*2"
assert specs.smallest_factor(10) == 2, "failed on composition n = 10 = 5*2"
assert specs.smallest_factor(15) == 3, "failed on composition n = 15 = 5*3"
assert specs.smallest_factor(99) == 3, "failed on large number n = 99"
assert specs.smallest_factor(169) == 13, "failed on perfect square n = 169 = 13**2"
assert specs.smallest_factor(1073) == 29, "failed on prime composition n = 1073 = 29*37"
def test_smallest_factor():
assert specs.smallest_factor(25) == 5
assert specs.smallest_factor(1) == 1
assert specs.smallest_factor(17) == 17
assert specs.smallest_factor(34) == 2
def test_smallest_factor():
assert specs.smallest_factor(1) == 1, "failed on 1"
assert specs.smallest_factor(5) == 5, "failed on small prime number"
assert specs.smallest_factor(20) == 2, "failed on even number"
assert specs.smallest_factor(37) == 37, "failed on large prime number"
assert specs.smallest_factor(49) == 7, "failed on 49"
def test_smallest_factor():
assert specs.smallest_factor(1) == 1, "Smallest_factor failed for 1"
assert specs.smallest_factor(
5) == 5, "Smallest_factor failed for prime number"
assert specs.smallest_factor(
6) == 2, "Smallest_factor failed for composite number"