Download Prime Factorization The Primes of Your Life and

Prime Factorization and Exponents
ThePrimesof YourLife
ACTIVITY 2 PRACTICE
Write your answerson notebook paper.Show
your work.
Lessonz-r
1. Which of the numbersbelowis NOT a prime
number?
A. 13
8.37
D. 47
c. 39
2. Which is the prime factorizationof 8l?
8.3x27
A .1 x 81
D.3x3x3x3
C.9 x9
3. Explainthe differencebetweena prime
numberand a compositenumber.Include
examplesin your explanation.
4. List the prime numbersbetween80 and 90.
5. List the compositenumbersbetween39 and 50.
6. To checkwhether59 is prime,Claudiadivided
59 by everyodd numberfrom 3 to 29.All of
the quotientshad a remainder.
a. Why did shetestwith only odd numbers?
b. To be surethat 59 is prime,doessheneedto
continueto divide59 by odd numbersfrom
3I to 57?Why or why not?
ACTIVITY2 r
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continued
12. Desmondhas169squarebricksthathe is
arrangingin rowsto makea patio.Everyrow
musthavethe samenumberof bricks
a. How manybricksarein eachrow?
b. Describethe shapeof the patio.Explain
your reasoning.
13. a. Find theprimefactorization
of 132.
b. Explainhow you foundthe prime
factorization.
14. a. Find the prime factorizationof 180.
b. Explainwhy everynaturalnumberwith a
zeroin the onesplaceis a composite
number.
15. fasonsaidthat anynumberthat hasI asa
factormustbe a compositenumber?Do you
agree?Explainyour reasoning.
16. Express
eachnumberasa sumof two prime
numbers.
a . l0
b.22
c. 30
d. s0
17. Expresseachnumberasa differenceof two
primenumbers.
a.2
b.8
c. 14
d. 16
7. A certainnaturalnumberis not divisibleby 7.
Can it be divisibleby A? Why or why not?
8. Determinethe prime factorizationof each
number.
a. 30
b. 33
c. 52
d. 72
f. 76
e.65
Explain
9. Is the number 147prime or composite?
how you know
10. Is 2 x 3 x 4 the prime factorizationof 24?
Explainyour reasoning.
11. List all of the numbersfrom I to 100that have
13asa factor.
Activity2 . PrimeFactorization
andExponents 33
Prime Factorizationand Exponents
ThePrlmesof YourLlfe
Lessonz-z
18. Evaluateeachexpression.
a. 33
b. 92
d.261
c. 1.62
g. 115
f. 22910
g. 02s
h. to7
t. two and two-tenths squared
j. four to the fourth power
k. sevencubed
[. three cubedsquared
19. Write the prime factorizationof eachnumber.
Useexponentsif needed.
a.32
c. 175
e. 108
b. 3g
d .1 2 0
f. r2r
20. Write 81 in exponentialform two different
ways.
21. a. Write 25 in exponentialform.
b. Identifr the basein the expressionthat you
wrote and explainwhat it means.
c. Identifr the exponentin the expressionthat
you wrote and explainwhat it means.
22. Thereweretwo bacteriain a dish at the
24. Which expressionequals50?
B. ls
A.0s
D. 50
c. 5r
25. How many factorsdoesthe number
22 x32 hive?
4.4
c.e
26. Which equationis true?
A. 16: 6l
C.2a:42
B. 23:32
D. 3a:43
27. Eachroom in a library has3abookshelves.
Eachshelfholds 27books.
i. Write an expressionfor the number of
booksthat areshelvedin eachroom.
b. H_owr-nanyrooms do you need to hold
27 x36 bobks?
MATHEMATICALPRACTICES
ViableArguments
Construct
28. A sixth grademath studentmadethis conjecture:
Everyprime number canbe expressedasthe
product of two prime numbers.Do you agree
with the conjecture?Why or why not?
beginningof an experiment.Every 15minutes,
the number of bacteriain the dish doubled.
Write in exponentialform the number of
bacteriain the dish two hours afterthe
experimentbegan.
23. Which of the givennumbersequals25x 32?
A. g0
c. 2 4 0
8.6
D. 36
B. 192
D. 288
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Mathematics
Course1, Unit I . NumberConcepts
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