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# What are the factors and prime factors of 91?

# How do you prime factorize?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the… factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.

# What are the factors and prime factors of 103?

103 is a prime number. The only two factors of a prime number are 1and itself. The only factor pair of 103 is 1 x 103. There is only one factorpair of a prime number. The prop…er factors of 103 are only 1 or, if the definition you are using excludes 1, there are none. The only prime factor of 103 is 103. There is only one prime factorof a prime number - itself. The distinct prime factor (listing each prime factor only once) of103 is also 103.

# What are the factors and prime factors of 76?

76 is a composite number because it has factors other than 1 and itself. The 6 factors of 76 are 1, 2, 4, 19, 38, and 76. The factor pairs of 76 are 1 x 76, …2 x 38, and 4 x 19. The proper factors of 76 are 1, 2, 4, 19, and 38 or, if the definition you are using excludes 1, they are 2, 4, 19, and 38. The prime factors of 76 are 2, 2, and 19. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed. The distinct prime factors of 76 are 2 and 19. The prime factorization of 76 is 2 x 2 x 19 or, in exponential form, 22 x 19.

# What are the factors and prime factors of 122?

1, 2, 61 and 122 2 and 61 are prime.

# What are the factors and prime factors of 98?

98 is a composite number because it has factors other than 1 and itself. It is not a prime number. The 6 factors of 98 are 1, 2, 7, 14, 49, and 98. The factor pairs of 98 …are 1 x 98, 2 x 49, and 7 x 14. The proper factors of 98 are 1, 2, 7, 14, and 49, or if the definition you are using excludes 1, they are 2, 7, and 14. The prime factors of 98 are 2, 7, and 7. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed. The 2 distinct prime factors (listing each prime factor only once) of 98 are 2 and 7. The prime factorization of 98 is 2 x 7 x 7 or, in index form (in other words, using exponents), 2 x 72. NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common. A factor tree of 98 (using periods for spacing) is ..98 ../ \\ 7 x 14 ....../ \\ ....2 x 7 So, the prime factors are 7, 2, and 7. The factors of 98 are 1, 2, 7, 14, 49 and 98.

# What are the factors and prime factors of 252?

252 is a composite number because it has factors other than 1 and itself. It is not a prime number. The 18 factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42…, 63, 84, 126, and 252. The factor pairs of 252 are 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, and 14 x 18. The proper factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 or, if the definition you are using excludes 1, they are 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126. The prime factors of 252 are 2, 2, 3, 3, and 7. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed. The distinct prime factors of 252 are 2, 3, and 7. The prime factorization of 252 are 2 x 2 x 3 x 3 x 7 or, in exponential form, 22 x 32 x 7.

# What are prime factor?

All nonzero numbers have factors. Some factors are prime numbers. These are known as prime factors. 1, 2, 3 and 6 are the factors of 6. 2 and 3 are the prime factors of 6.

# What is prime factorization?

"Prime factorization" is the process of finding which prime numbers(prime factors) you need to multiply together to get a certainnumber. Examples: 21 = 3 x 7 10 = 2 x 5 20 = …2 x 2 x 5 60 = 2 x 2 x 3 x 5 (these may also be written as 2*5, 2*2*5, and 2*2*3*5) By convention, prime factorizations are written with the smallestprime numbers first. For example, we wouldn't write 60 = 3 x 2 x 2x 5. Some texts prefer to write the answer using exponentialnotation, so that the final answer would be written as 60 = 2^2 x 3x 5. A prime number is a number that has no factors other than itselfand 1, but 1 itself is not regarded as a prime number. The prime numbers below 30 are thus 2, 3, 5, 7, 11, 13, 17, 19, 23,and 29. They can be said to have no prime factorization. Prime Factors A factor which is a prime number is called a primefactor. Every positive integer can be expressed as a product of primenumbers (its prime factorization). Moreover, each positive integerhas only one prime factorization. The prime factors can be found by successive division by primenumbers of increasing value. EXAMPLE : The prime factorization of 54 is 2 x 3 x 3 x 3 This can be written as 2 x 3^3 The prime factors of 54 are thus 2 and 3. With large numbers, prime factorization is very time-consuming. Ifthere was a quick way to factorize numbers, then it would be easyto break RSA encryption, which uses prime factors, and therebyintercept secret communications over the internet. Prime factorization is expressing a number as the product of itsprime factors. Example: 210 The prime factors of 210 are 2, 3, 5and 7. The prime factorization of 210 is 2 x 3 x 5 x 7. This concept applies to natural numbers. First you need to know the concept of prime number . A number(other than 1) is prime if it can be divided only by 1 and itself.Examples are 2,3,5,7,11,13,17,19,23 ( There are infinitely manyprimes.) if a number is not prime, there are primes than can be multipliedtogether to get it. ( * means multiply) For example 4 = 2 * 2; 6 = 2*3 ; 9 = 3 * 3; 10 = 2* 5; 14= 2 * 7;15 = 3* 5 Sometimes it takes more than two primes to make the number. 8 = 2 * 2 * 2 ; 12 = 2 * 2 * 3 ; 24 = 2 * 2 *2 * 3 . There is an important theorem that says that every number is eitherprime or else is the product of primes. Further, except for theorder, there is only one set of primes whose product is some givennumber. These primes are called the prime factorization of thenumber. ( Numbers that are multiplied together are called factors.) The prime factorization is useful in many ways, but one basic useis for finding the greatest common factor and the least commonmultiple. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. Prime factorisation is the process of finding prime numbers that when multiplied equal the original number. Example: Words: Say you start with 20. You divide 20 by any number that will have a whole quotient. Let us use 5. 20 divided by 5 is 4. Then you try and divide those numbers. 5 is not divisible by any other numbers making it prime. Do not change the 5. 4 is divisible by 2. 4 divided by 2 is 2. So there for the prime numbers that create 20 when multiplied are 2,2, and 5. To see this process in numbers, see below. 20 5x4 5x2x2 This process is prime factorisation. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. a prime number that can go into a certain number. for example: the prime factorazations of 399 are 3, 7, 19 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 .

# What are the factors and prime factors of 256?

The factors of 256 are 2, 2, 17, 8, 16, 92, 64, 128, and 256. The factor pairs of 256 are 1 x 256, 2 x 128, 4 x 64, 8 x 32, and 16 x 16. The prime factors of 256 are 2, 2, …2, 2, 2, 2, 2, and 2. The only distinct prime factor (listing each prime factor only once) is 2. The prime factors of 256 are 2x2x2x2x2x2x2x2x (or 28).

# What are the factor and prime factors of 16?

The factors of 16 are: 1 2 4 8 16 The prime factors are: 2 x 2 x 2 x 2

# What are the factors and prime factors of 1320?

factors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660 prime factors: 2(3), 3, 5, 11

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# What are prime factorizations?

Prime factorization is finding the factors of a number that are all prime. Here's how you do it: Find 2 factors of your number. Then look at your 2 factors and determine if on…e or both of them is not prime. If it is not a prime factor it. Repeat this process until all your factors are prime. Here's an example: Find the prime factors of the number 84: 84 / \\ 42 x 2 (84 is 42 times 2) / \\ 21 x 2 (42 is 21 times 2) / \\ 7 x 3 (21 is 7 times 3) (7 and 3 are both prime, so we stop!) So the prime factors of 84 are 7 x 3 x 2 x 2.

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# What are the factors and prime factors of 4320?

factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 48…0, 540, 720, 864, 1080, 1440, 2160, 4320 prime factors: 2(5), 3(3), 5

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# What are the factors and prime factors of 888?

factors: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444 prime factors: 2(3), 3, 37

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In Algebra

# Prime Factors of 91?

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 91 cannot evenly be divided by 2, 3, or 5 Dividing 91 by 7 gives 13 This means that the prime fa…ctors of 91 are 7 and 13.

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# What is a prime factoralization?

Any number can be broken down, or factored, into smaller and smaller factors which multiply to give the original number, when you have reached the smallest possible factors, t…hen those factors will be prime, all those factors together constitute the prime factorization of that number.