302 HW 4 - = 7 17 = 11 13 10 = 5 5 = 3 7 26 = 3 23 = 7 19 =...

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M302 HOMEWORK #4 Dr. Schurle Assignment: page 77, #2, 7, 8, 12, 14, 15, 32 Grade the following for 2 points each, then give all or part of the remaining two points depending on how much work they've done on the other problems. #2. 6 = 2 × 3 24 = 2 × 2 × 2 × 3 27 = 3 × 3 × 3 35 = 5 × 7 120 = 2 × 2 × 2 × 3 × 5 #8. A prime multiplied by a prime is never a prime and a nonprime multiplied by a nonprime is never a prime, because in each case the product CAN be expressed as the product of two smaller natural numbers. #14. 4 = 2 2 20 = 3 17 = 7 13 6 = 3 3 22 = 3 19 = 5 17 = 11 11 8 = 3 5 24 = 5 19
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Unformatted text preview: = 7 17 = 11 13 10 = 5 5 = 3 7 26 = 3 23 = 7 19 = 13 13 12 = 5 7 28 = 5 23 = 11 17 14 = 3 11 30 = 7 23 = 11 19 = 13 17 16 = 3 13 = 5 11 32 = 3 29 = 13 19 18 = 5 13 = 7 11 NOTE: Only one sum needs to be given. #32. If p is a prime number greater than or equal to 3, then p must be odd, otherwise it could be divided by 2. But then p+1 will be even, so it can be divided by 2, so it cannot be prime....
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This note was uploaded on 03/19/2008 for the course M 302 taught by Professor Irwin during the Spring '08 term at University of Texas.

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