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# What are the factors and prime factors of 312?

Updated: 4/28/2022

Wiki User

15y ago

312 is a composite number because it has factors other than 1 and itself. It is not a Prime number.

The 16 factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, and 312.

The proper factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, and 156 or,

if the definition you are using excludes 1, they are 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, and 156.

The prime factors of 312 are 2, 2, 2, 3, and 13. 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 312 are 2, 3, and 13.

The prime factorization of 312 is 2 x 2 x 2 x 3 x 13 or, in index form (in other words, using exponents), 23 x 3 x 13.

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.

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15y ago

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Q: What are the factors and prime factors of 312?
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### Prime factors of 312?

The prime factors of 312 are: 2, 3, 13

### What is the primary factor of 312?

The prime factors of 312 are 2, 3 and 13.

### What is the prime factorization of 312 in expanded form?

As a product of its prime factors: 2*2*2*3*13 = 312

### What are the factors and prime factors of 961?

The factors of 961 are 1, 31, and 961. The prime factors of 961 are 31 and 31. The prime factorization of 961 is 31 x 31 or, in exponential form, 312.

### What is the number of a prime factor of 312?

To find the prime factors of 312 start with any factor pair of 312 and keep factoring the composite numbers until all factors are prime. 312 2 x 156 2 x 2 x 78 2 x 2 x 2 x 39 2 x 2 x 2 x 3 x 13 A number of a prime factor of 312 is 2, 3, or 13.

### What is prime factorization for 312?

The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312. For them to be common, they need to be compared to another set of factors. If you meant 3 and 12, the common factors are 1 and 3.

### What is the prime factorization for 312 using dot symbols?

The prime factorization of 321 is 3 times 107. Write it any way you wish.

### What is the least common multiple of 6 8 and 13?

The prime factors of 6 are 2 and 3. The prime factors of 8 are 2, 2, and 2. The prime factors of 13 are 13. From 6, we have factors 2 and 3. From 8, we have 2, 2, and 2, but we already have one 2 from the factors of 6, so we only need to include two more 2s. So, now we have 2, 3, 2, and 2. From 13, we have the factor of 13. So, to determine the least common multiple, multiply 2 x 3 x 2 x 2 x 13 = 312. Double check: 312 &divide; 6 = 52 which is 13 x 2 x 2 312 &divide; 8 = 39 which is 13 x 3 312 &divide; 13 = 24 which is 2 x 2 x 2 x 3 There are no common prime factors for the three quotients, so 312 is confirmed as the least common multiple.

### How many different prime factors of 3150 are there?

The only distinct prime factor that 3125 has is 5.

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### What are factors of 312 a composite?

The composite factors of 312 are 4, 6, 8, 12, 24, 26, 39, 52, 78, 104, 156, 312

### Find the prime factorization for 312?

312 = 23 x 3 x 13