course Mth 151
april 11 around 4:30
q001:
I used 24 which is broken down to the prime numbers of 5+19.
*3
q002:
42=11+31; 13+29; 5+37; 23+19
76=3+73; 71+5; 17+59; 53+23; 29+47
*2
q003:
the factors are 1,2,3,6,9 and all of those added up would equal 21; therefore the number is greater than the original number.
*3
q004:
the factors of 12 would be: 1,2,3,4,6 and they would equal up to 16. that is higher than the original number and is said to be abundant.
the factors of 16 would be: 1,2,4,8 and they would equal 15. this number is less than the original and is said to be deficient.
the factors of 26 are 1,2,13 and they all equal up to 16. this number is less than the original and is said to be deficient.
the factors of 6 would be: 1,2,3 which all add up to 6. the numbers are the same and is said to be perfect.
*3
q005:
28 would be the perfect number because it has factors that all add up to the original number
*3
q006:
because a prime number only has two factors; itself and 1. so it could never be itself.
*3
q007:
no it is always not true to be prime.
*2
q007:
2^3-1=7(prime)
2^5-1=31(prime)
2^7-1=127(prime)
*3
&#Please let me know if you have questions. &#