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# Prime factor of 378

Updated: 4/28/2022

Wiki User

13y ago

378

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14 27

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7 2 9 3

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3 3

So the prime factorization of 378 is 2 x 3 cubed (or 3 to the third power) x 7.

Wiki User

12y ago

Wiki User

13y ago

The prime factors of 378 are: 2, 3, 7

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### How do you find the prime factorization of 3024?

The process of prime factorisation is one of repeated division by primes, while obtaining a quotient without a remainder, until the process yields a quotient of 1 3024 &divide; 2 = 1512 ................................. 2 is a prime factor of 3024 1512 &divide; 2 = 756 ................................... 2 is a prime factor of 3024 756 &divide; 2 = 378 ..................................... 2 is a prime factor of 3024 378 &divide; 2 = 189 ..................................... 2 is a prime factor of 3024 189 is not divisible by 2 189 &divide; 3 = 63 ....................................... 3 is a prime factor of 3024 63 &divide; 3 = 21 ......................................... 3 is a prime factor of 3024 21 &divide; 3 = 7 ........................................... 3 is a prime factor of 3024 7 is not divisible by 3 7 &divide; 7 = 1 ............................................. 7 is a prime factor of 3024 So the prime factors of 3024 are 2, 2, 2, 2, 3, 3, 3 and 7

### Is 378 a prime factorization?

378 = 2 &times; 33 &times; 7

### What is the highest common factor of 126196 and 378?

126,196 and 378's highest common factor is 14.

### What is prime factorization of using exponents 378?

It is: 2*33*7 = 378

### What is the prime product of 378?

The prime factorization of 278 is 2x3x3x3x7.

### Can you show how to do a factor tree for 378?

378 189,2 63,3,2 21,3,3,2 7,3,3,3,2

### What is the prime factorizations for the number 378?

378 = 2 * 3 * 3 * 3 * 7

Yes.

### What are the factors and prime factors of 378?

378 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 16 factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, and 378.The factor pairs of 378 are 1 x 378, 2 x 189, 3 x 126, 6 x 63, 7 x 54, 9 x 42, 14 x 27, and 18 x 21.The proper factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, and 189 or,if the definition you are using excludes 1, they are 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, and 189.The prime factors of 378 are 2, 3, 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 3 distinct prime factors (listing each prime factor only once) of 378 are 2, 3, and 7.The prime factorization of 378 is 2 x 3 x 3 x 3 x 7 or, in index form (in other words, using exponents), 2 x 33 x 7.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.

378 = 2 x 33 x 7

### What numbers go into 378?

378 or 2*189 or 2*3*89. 89 is prime.

2 x 33 x 7 = 378