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Best Answer

'42' being an even number will divide by '2'

Hence

2)42 = 21

3)21 = 7

7 ) 7 = 1

So the prime factors of '42' are 2^(1) X 3^(1) x 7^(1).

#NB the '1' is the exponent. 2,3, & 7 are the primes.

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lenpollock

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9mo ago
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8y ago

No exponents are needed because: 2 times 3 times 7 = 42

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Q: The prime factorization of 42 using exponents?
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What is the least common multiple of 28 and 42 found using prime factorization?

First you need to find the prime factors of 28 and 42. 28= 7x22 42= 7x3x2 Then you multiply 7x3x22, the product of which is 84, which is your answer.


Prime factorization for 84?

The prime factor decomposition of 84 is: 2 x 2 x 3 x 7 If you want to see my working (in case I made a mistake): 84/2=42 (42 is not prime), 42/2=21 (21 is not prime), 21/3=7 (7 is prime, so stop here) factors: 2,2,3 and 7


What are the factors and prime factors of 126?

126 is a composite number; it has factors other than 1 and itself.The 12 factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.The factor pairs of 126 are 1 x 126, 2 x 63, 3 x 42, 6 x 21, 7 x 18, and 9 x 14.The proper factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, and 63 or,if the definition you are using excludes 1, they are 2, 3, 6, 7, 9, 14, 18, 21, 42, and 63.The prime factors of 126 are 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 126 are 2, 3, and 7.The prime factorization of 126 is 2 x 3 x 3 x 7 or, in exponential form, 2 x 32 x 7.-ProMode- Thank you :)1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.


What is the prime factorization of a negative 42 and how do you solve it?

The concept of prime factorisation is normally applied to positive integers only. This is because once you consider negative numbers, the results become ambiguous. One of the most important theorems of factorisation is that the prime factorisation of any integer is unique. That does not apply to negative integers. As long as an odd number of factors is negative, the overall product is negative so, -42 = -2*3*7 or 2*(-3)*7 or 2*3*(-7) : hardly unique!


What is the greatest common factor of 25 and 42?

Answer: 1. One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 25 are 1, 5, and 25.The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 25 are 5 and 5.The prime factors of 42 are 2, 3, and 7.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.Another way to approach this is to look at the difference between 25 and 42, which is 17. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 17 is a prime number, the greatest common factor must be either 1 or 17. Neither 25 nor 42 are divisible by 17, so the greatest common factor is 1. This is a useful shortcut if you notice that the difference between the two numbers is a prime number.