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## math 116 week 2

by: Stacey Boateng

23

0

3

# math 116 week 2 MATH 116

Stacey Boateng
RU
GPA 3.2

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base systems and prime factorization
COURSE
Math and Humanity
PROF.
William Case
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
Math
KARMA
25 ?

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Stacey Boateng on Friday January 22, 2016. The Class Notes belongs to MATH 116 at Radford University taught by William Case in Spring 2016. Since its upload, it has received 23 views. For similar materials see Math and Humanity in Mathematics (M) at Radford University.

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Date Created: 01/22/16
Math 116: Base systems contd. Convert 5342 in6o a base 10: 56 +36 +46 +26 ( you expand the # and multiply by base 6) 5216+336+46+21 (exponent goes from last base # to first base # from 0-3) 1080+108+24+2=1214 convert 245 to a base 5: (when you go from base 10 to a smaller base divide) 0 5 =1 (put a 0 for numbers skipped) 5 =5 20/5 (4 remainder) 45=20 20-20=0 2 5 =25 120/25 (4 remainder) 425= 100 120-100=20 3 5 =125 245/125 (1 remainder) 1251=125 245-125=120 *you multiply the remainder and the number divided in order to get the next number. 15 +45 +45 +05 = 1440 5 convert 3324 to5a base 6 (convert b4 to a b10 # then convert to b6#) 3 2 1 0 35 +35 +25 +45 3125+325+25+41 375+75+10+4+ 464 base 6 0 6 =1 2/1 (2 remainder) 21=2 2-2=0 6 =6 32/6 (5 remainder) 65=30 32-30=2 2 6 =36 (put a 0 for numbers skipped) 6 =216 464/216 (2 remainder) 2216=432 464-432=32 26 +06 +56 +26 = 2052 6 Prime Numbers: a prime number is a number that can only be divided by 1 and itself Examples for prime numbers: 1, 2, 3, 5, 7, 11, 13, 17. Composite number: has factors other than 1 and itself Examples of composite numbers: 16, 20, 25. Number Divisibility test for number 2 Number is even 3 Sum of the digits of the number is 3 4 The last two digits of number are divisible by 4 5 The number ends in 0 or 5 6 The number is divisible by both 2 and 3 8 The last 3 digits of the number are divisibly by 8 9 The sum of the digits of the number is divisibly by 9 10 The last digit is 0 Are these numbers prime or composite? 39- composite (313) 31-prime 161- composite (127) *to find out if larger numbers are prime, find the square root and divide list all the factors of 105: 1,105,5,21,3,35,7,15 Prime factorization: if a number is written as a product of its prime factors. You can use a factor tree to determine prime factorization:

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