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(98) = 2 * (49) = 7 * 7 ( both primes, end sequence)

so >

prime factors are : 21 * 72

Q: Prime factorization of 98 using exponents?

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98 = 2 * 7 * 7 = 2 * 72

98 is an even number, thus it is divisible by 2; 98/2 = 49. 49 is simply 72. Since both 2 and 7 are prime numbers, the prime factorization of 98 is 2 X 72.

How to Do Prime FactorizationHere is one way to do prime factorization:We'll find the prime factorization of 98.Though you can start with any of the factors which when multiplied together equal 98, let's start with the lowest prime factor, which is 2.2 X 49 = 98 Now, find the lowest prime factor of 49, which is 7. 7 X 7 = 49.Write it like this:2 X 7 X 7 = 98, which is the prime factorization because all the factors are prime.Here is another example:We'll do the number 100:2 X 50 = 1002 X 2 X 25 (We just factored the number 50, using the lowest prime number that will divide evenly into 50) Now, we'll factor 25. 5 X 5 = 25. Write it like this:2 X 2 X 5 X 5All the factors are prime now, so the prime factorization of 100 is 2 X 2 X 5 X 5.So, basically, prime factorization is simply finding the prime factors (those which have only 1 and itself as factors) that when multiplied together equal the given number. The above examples show one way to accomplish that.

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.

1078 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 12 factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, and 1078. The factor pairs of 1078 are 1 x 1078, 2 x 539, 7 x 154, 11 x 98, 14 x 77, and 22 x 49.The proper factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, and 539 or,if the definition you are using excludes 1, they are 2, 7, 11, 14, 22, 49, 77, 98, 154, and 539.The prime factors of 1078 are 2, 7, 7, and 11.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 3 distinct prime factors (listing each prime factor only once) of 1078 are 2, 7, and 11.The prime factorization of 1078 is 2 x 7 x 7 x 11 or, in index form (in other words, using exponents), 2 x 72 x 11.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.

Related questions

Prime factorization of 98 using exponents: 2 * 7 * 7 = 2 * 7²

It is: 2*72 = 98

98 = 2 * 7 * 7 = 2 * 72

2 x 72 = 98

Prime factors of 50 are 2 and 52 in exponents Prime factors of 98 are 2 and 72 in exponents So it follows LCM is 2*52*72 = 2450

The prime factorization of 98 is: 2 × 7 × 7.

It is: 2*72 = 98

2 x 7 x 7 = 98

it is 14

The prime factorization of negative 98 is: -2 x -7 x -7

It is: 2*7*7 = 98

98 is NOT a prime number. Prime factorization of 98: 2 x 7 x 7