How many days per calendar year is the month a factor of the day Answers
A) 0	B) 1	C) 45	D) 90	E) 101
Solution: 45   All 31 days in January, because 1 is a factor of all integers   14 of the 28 days in February (because every other day is divisible by 2)   10 of the 31 days in March (the multiples of 3 between 3 and 30)   7 days in April (the multiples of 4 between 4 and 28)   6 days in May (the multiples of 5 between 5 and 30)   5 days in June (the multiples of 6 between 6 and 30)   4 days in July (the multiples of 7 between 7 and 28)   3 days in August (the multiples of 8 between 8 and 24… so, so close if only the month were 32 days long!)   3 days in September (9th, 18th, 27th)   3 days in October (10th, 20th,30th)   2 days in November (11th, 22nd)   2 days in December (12th, 24th)   And there you have it! As you can see, as you move through the months, your job starts to get easier as you pick up on the patterns and are able to reuse some of your previous insights… This is a very valuable skill to remember on test day!   45
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How many days per calendar year is the month a factor of the day