MATH 140 In Class Exercise on E-Primes Name____________________
Let E be the set
of all positive even numbers: E = {2,4,6,8,10,
}.
We will consider only those numbers in this exercise.
1. Factor each of the following numbers in E that is if the number can be factored into a product of numbers in E write down the factorization. Break it into as many factors as possible. No odd numbers are allowed. If it cant be factored just write the number.
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n |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
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factor |
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n |
18 |
20 |
22 |
24 |
26 |
28 |
30 |
32 |
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factor |
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2. An E-Prime is a number in E that can not be factored. 2 for example is an E-Prime since there is no factorization of 2 except 2 = 2.
List the E-Primes from 2 32.
______________________________________________________________
What do the E-Primes have in common? _______________
3. Is 50 an E-Prime? Why or why not? _______________
4. Factor 60 as a product of E-Primes in two different ways, that is with different prime factors. __________________________________
5. Find another even number that can be factored into a product of E-Primes in two different ways. _______