Download Math 1100 Sec 4.2 Prime and Composite Numbers

Math 1100
Sec 4.2 Prime and Composite Numbers
Name___________________________________
1) Definition: Prime Numbers
A _____________________________ is a whole number greater than 1, whose only two whole-number factors
are _________and _________________. The first few prime numbers are _________________________________.
2) Definition: Composite Numbers
A whole number that can be divided evenly by numbers ________________________________________.
3) Definition: Prime factorzation
A _________________________________ is finding the factors of a number that are all prime.
Ex:
Find the prime factorization.
4) 1606
A) 2 2 · 73
B) 22 · 73
C) 2 · 11 · 73
D) 112 · 73
5) Fundamental theorem of arithmetic
In number theory, the fundamental theorem of arithmetic, also called
_____________________________________________, states that every integer greater than 1 either is prime itself
or is the product of prime numbers, and that this product is unique, up to the order of the factors.
6) A primality test
If a whole number greater than 1 and not divisible by any prime p suthat that __________________________,
then n is prime.
Identify the number as prime, composite, or neither.
7) 163
CW 14
Solve the problem.
8) If a bag of jellybeans has 105 jellybeans, what is the greatest number of bowls that can be filled with 35
jellybeans?
Solve the problem.
9) Jack has 82 trees that he wants to plant in a rectangular array. List the possible arrays.
10) If a group of 238 people is to be split into equal-sized subgroups of at least two people and no more than 30
people, what are the possible numbers of groups?
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Answer Key
Testname: MATH 1100 SEC 4.2
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C
Prime
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1 × 82, 2 × 41
14, 17, 34, and 119
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