# What does it mean when it says write the prime factorization?

## What does it mean when it says write the prime factorization?

“Prime Factorization” is finding which prime numbers multiply together to make the original number.

What numbers can be written as a product of what factors this is called the prime factorization of a number?

The process of writing a number as the product of prime numbers is prime factorization. Prime numbers are the numbers that have only two factors 1 and the number itself like 2, 3, 5, 7, 11, 13, 17, 19, and so on.

What is the prime factorization of 1038 written in exponential form?

The prime factorization of 1,038 is 2 × 3 × 173. Since it has a total of 3 prime factors, 1,038 is a composite number….

Max 9223372036854775807
0x129abf Hex number
5.012 * 10^7 Scientific notation
2^4 * 5 Factorized form
* Random number

### Do prime numbers have prime factorization?

For a prime number such as 13 or 11 , the prime factorization is simply itself. Any composite number (that is, a whole number with more than two factors) has a non-trivial prime factorization. The prime factorization of a number can be found using a factor tree .

What is the exponent called in a number in scientific notation?

or m times ten raised to the power of n, where n is an integer, and the coefficient m is a nonzero real number (usually between 1 and 10 in absolute value, and nearly always written as a terminating decimal). The integer n is called the exponent and the real number m is called the significand or mantissa.

How to find the prime factorization with exponents?

Remember that exponents tell us how many times to multiply a certain number together. For example, 23 means we multiply 2 three times (23 = 2 * 2 * 2). For the prime factorization of 12, we can add in exponents and rewrite our prime factorization with the exponents like this: 12 = 2 * 2 * 3 = 22 * 3.

## Which is the correct definition of prime factorization?

What is Prime Factorization? Prime factorization or integer factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. This is also known as prime decomposition.

How to find the prime factorization of 6?

So, we can say that 6 can be broken down to 2 * 3. We call this process prime factorization, the breaking down of a number into the prime numbers that multiply to the original number. For example, the prime factorization of 6 is 2 * 3. Once we reach 2 * 3, we can’t go any further because they are both prime numbers.

How is the factorization of a number done?

Prime factorization or integer factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. This is also known as prime decomposition. We cover two methods of prime factorization: find primes by trial division, and use primes to create a prime factors tree.