# Prime Numbers PF 1 - Basic Math Videos And Worksheets

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Name: Date:Prime NumbersPF 1Instructions: Determine if the number given is a Prime Number. You can do this by testing fordivisibility. (For the exercises on this page, you only need to try divisibility tests for 2,3,and 5.)Mark the correct box.12PrimeNOT Prime24PrimeNOT Prime33PrimeNOT Prime411PrimeNOT Prime515PrimeNOT Prime617PrimeNOT Prime710PrimeNOT Prime88PrimeNOT Prime97PrimeNOT Prime109PrimeNOT Prime116PrimeNOT Prime1212PrimeNOT Prime1331PrimeNOT Prime1444PrimeNOT Prime1514PrimeNOT Prime1625PrimeNOT Prime1720PrimeNOT Prime1819PrimeNOT PrimePrime Factorization mathantics.com 2013 Math Plus Motion, LLC

Name: Date:Composite NumbersPF 2Instructions: Multiply each set of Prime Factors to see what Composite Number they make.(We recommend using a calculator for these exercises.)12 2 423 3 932 3 642 5 1052 2 3 1263 5 1572 2 2 885 5 2592 3 3 18102 3 5 30113 3 3 27123 3 5 45132 2 3 3 36142 3 5 7 152 3 3 3 54162 2 2 3 7 168172 2 3 5 60182 2 2 5 7 280Prime Factorization mathantics.com210 2013 Math Plus Motion, LLC

Name: Date:Factoring to PrimesPF 3Instructions: Factor each number down to its Prime Factorization. Use the ‘factor tree’ templatesto help you.NOTE: Factor tree steps may vary, but the final ‘primefactorization’ should match this answer key.20110 520 2 18 Prime Factorization 3 3 7 2 Prime Factorization272x2x73030 10 35 3 3 Prime Factorization45333x3x3Prime FactorizationPrime Factorization mathantics.com45 32x5x3697Prime Factorization232x3x3328 44652218227 25x2x232829 5 3 53x3x5Prime Factorization 2013 Math Plus Motion, LLC

Name: Date:Factoring to Primes - Set 2PF 4Instructions: Factor the number down to its Prime Factorization. Use the ‘factor tree’ templates tohelp you.NOTE: Factor tree steps may vary, but the final ‘primefactorization’ should match this answer key.6016 6102x2x3x536 Prime Factorization4034 Prime Factorization164 981 3x3x3x3Prime Factorization5442x2x2x2Prime FactorizationPrime Factorization mathantics.com9 3 3 3 362 2 2 216 Prime Factorization81102x2x2x552x2x3x342 2 2 540 6 2 3 2 32 3 2 560 3626 92 3 3 354 2x3x3x3Prime Factorization 2013 Math Plus Motion, LLC

Name: Date:More Prime Factorization PracticePF 5Instructions: Factor each number down to its Prime Factorization. For each problem, make a ‘factortree’ on some scratch paper to help you get the right answer.123456789101140 2x2x2x5Prime Factorization50 2x5x5Prime Factorization32 2x2x2x2x272 2x2x2x3x3Prime FactorizationPrime Factorization100 2x2x5x5Prime Factorization150 2x3x5x5Prime Factorization175 5x5x7Prime Factorization66 2 x 3 x 11Prime Factorization270 2x3x3x3x5Prime Factorization102 160 2 x 3 x 17Prime Factorization2x2x2x2x2x5Prime Factorization mathantics.comPrime Factorization 2013 Math Plus Motion, LLC

Name: Date:Prime Factorization and Exponent NotationPF 6Review: Exponents are used to show repeated multiplication. For example, if you want to multiplythe number 2 together 3 times, you could write 2 2 2, but you could also use Exponent Notationand just write 23. The small ‘3’ means multiply this number by itself 3 times. Here are a few examplesso you can see the pattern.32 3 353 5 5 544 4 4 4 425 2 2 2 2 2Instructions: Rewrite the Prime Factorization shown using Exponent Notation.12 2 2 5 23 x 522 2 3 3 22 x 3 232 2 2 2 2442 2 5 5 22 x 5 252 2 3 3 7 22 x 3 2 x 762 2 2 2 7 24 x 772 2 2 5 5 23 x 5282 2 3 5 7 22 x 3 x 5 x 792 2 2 3 3 3 3 23 x 3 4102 2 2 3 3 7 7 23 x 3 2 x 72112 3 3 3 5 7 7 2 x 33 x 5 x 72122 2 2 2 2 2 3 26 x 3Prime Factorization mathantics.com 2013 Math Plus Motion, LLC

Name: Date:Prime or Composite?PF 7Instructions: In this list of every whole number up to 100, circle any Prime Numbers that you know.Then, use the answer key and circle any Prime Numbers that you may have missed. All the numbers thatare not circled are Composite Numbers!(NOTE: This is an advanced exercise and should be considered 00Prime Factorization mathantics.com 2013 Math Plus Motion, LLC

Factor each number down to its Prime Factorization. For each problem, make a ‘factor tree’ on some scratch paper to help you get the right answer. 2 x 2 x 2 x 5 2 50 Prime Factorization 1 40 Prime Factorization 7 175 Prime Factorization 3 32 Prime Factorizat

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Prime Numbers A prime number is an integer 2 or greater that is divisible by only 1 and itself, and no other positive integers. Prime numbers are very important to public key cryptography. Fermat's Theorem One really neat property of prime numbers is as follows: For all prime numbers p and positive integers a such that gcd(a, p) 1,

Here is a list of a first ten prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Use a prime factorization tree to break down 63 into its prime numbers. 63 3 21 (3 x 21 63; 3 is a prime number) 3 7 (3 x 7 21; 3 & 7 are prime numbers) The prime factorization of 63 3 x 3 x 7

system of numbers is expanded to include imaginary numbers. The real numbers and imaginary numbers compose the set of complex numbers. Complex Numbers Real Numbers Imaginary Numbers Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers The imaginary unit i is defi

Circular prime A circular prime is prime with the property that the number generated at each intermediate step when cyclically permuting its (base 10) digits will be prime. For example, 1193 is a circular prime, since 1931, 9311 and 3119 all are also prime. Other examples are: 13, 17, 37, 79, 113, 197, 199, 337, 1193, 3779, 11939, 19937,

Definition: A prime number is a positive integer p that is divisible by only 1 and itself. If a number is not prime, it is called a composite number. Mathematically: p is prime x Z [(x 1 x p) x p] Examples: Are the following numbers prime or composite? 23 Prime 42 Composite, 42 2 3 7 17 Prime 3 Prime

The prime factorization of 100 is 2 ! 2 ! 5 ! 5. We find that 2100 is 10, and the prime factorization of 10 is 2 ! 5. Notice that 100 and 2100 have the same prime factors, 2 and 5, but that each factor appears half as often in the prime factorization of 2100. There are two commonly used methods for factoring composite numbers.

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