{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

M135F07A5

# M135F07A5 - MATH 135 Assignment#5 Hand-In Problems 1(a...

This preview shows pages 1–2. Sign up to view the full content.

MATH 135 Fall 2007 Assignment #5 Due: Wednesday 24 October 2007, 8:20 a.m. Hand-In Problems 1. (a) Convert (84 808) 9 to base 10. Show your work. (b) Convert 37 390 to base 16, using A for ten, B for eleven, C for twelve, D for thirteen, E for fourteen, and F for ﬁfteen. Show your work. 2. Add and multiply the numbers (3157) 8 and (445) 8 , expressing your answers in base 8. 3. (a) Determine the prime factorizations of 39 204 000 and 9 922 500. (b) Determine gcd(39 204 000 , 9 922 500) and lcm(39 204 000 , 9 922 500). (c) Determine the number of positive divisors of 9 922 500. (d) Determine the number of positive common divisors of 39 204 000 and 9 922 500 that are multiples of 10. 4. A positive integer n is called a perfect square if n = m 2 for some positive integer m . (a) If n is a perfect square and n has prime factorization n = p c 1 1 · · · p c k k , prove that c 1 ,c 2 ,...,c k are all even. (b) Suppose that

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

M135F07A5 - MATH 135 Assignment#5 Hand-In Problems 1(a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online