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Bunuel
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What is the lowest positive integer that is divisible by every odd int 13 Aug 2019, 03:30
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25% (medium)

Question Stats:

69% (01:03) correct 31% (01:13) wrong based on 192 sessions

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What is the lowest positive integer that is divisible by every odd integer between 1 and 10?

A. 105
B. 315
C. 945
D. 3,780
E. 7,560
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B
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What is the lowest positive integer that is divisible by every odd int 13 Aug 2019, 03:38
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Odd integers between 1 and 10 are 3,5,7,9.
Least possible integer divisible is LCM(3,5,7,9) = 35*9 = 315.

B is the answer.
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What is the lowest positive integer that is divisible by every odd int 13 Aug 2019, 09:15
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Bunuel
What is the lowest positive integer that is divisible by every odd integer between 1 and 10?

A. 105
B. 315
C. 945
D. 3,780
E. 7,560
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What is the lowest positive integer that is divisible by every odd integer between 1 and 10?

Number = 3*5*7*3 = 315

IMO B
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What is the lowest positive integer that is divisible by every odd int 04 Oct 2019, 01:40
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Bunuel
What is the lowest positive integer that is divisible by every odd integer between 1 and 10?

A. 105
B. 315
C. 945
D. 3,780
E. 7,560
Show more

Official Explanation



"Every odd integer between 1 and 10" includes 1, 3, 5, 7, and 9. To be divisible by all of these numbers, it must have as factors at least one 5, one 7, and two 3's (two so that the 9 is covered). This minimum set of factors multiplies to 5*7*9 = 315. Therefore, the answer is (B).

A side note: since the factors of 315 happen to be prime numbers (with the 9 counted as two 3's), we have found the prime factorization of 315. Repeatedly dividing a number in order to get its prime factorization is a technique always to keep in mind when confronting confusing situations around multiplying, dividing, factors, and primes.

Again, the correct answer is (B).
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What is the lowest positive integer that is divisible by every odd int 04 Oct 2019, 01:41
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Bunuel
What is the lowest positive integer that is divisible by every odd integer between 1 and 10?

A. 105
B. 315
C. 945
D. 3,780
E. 7,560
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What is the lowest positive integer that is divisible by every odd int 10 Mar 2021, 01:48
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