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Algebra/two nearest number to ten thousand

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Expert: - 8/28/2005


Question
determine the two nearest number to 10,000, which are exactly divisible by 2, 3, 4, 5, 6, 7.

Answer
Al we need to do is check the multiples of
12*5*7=420 (since 12 is a multiple of 2,3,4 and 6)
Multiples of 420 are
420, 840, ..., 9660, 10080, ...

Hence, the two numbers closest to 10,000 that are
multiples of 2,3,4,5,6, and 7 are 9,660 and 10,080.

Abe

Algebra

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Volunteer

Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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