# Prime Factors of 74088

Prime Factors of 74088 are 2, 2, 2, 3, 3, 3, 7, 7, and 7

#### How to find prime factors of a number

 1.   Prime Factorization of 74088 by Division Method 2.   Prime Factorization of 74088 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 74088 by Division Method

To find the primefactors of 74088 using the division method, follow these steps:

• Step 1. Start dividing 74088 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 74088, which is 2. Divide 74088 by 2 to obtain the quotient (37044).
74088 ÷ 2 = 37044
• Step 3. Repeat step 1 with the obtained quotient (37044).
37044 ÷ 2 = 18522
18522 ÷ 2 = 9261
9261 ÷ 3 = 3087
3087 ÷ 3 = 1029
1029 ÷ 3 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 74088 is, 74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7.

#### Steps to find Prime Factors of 74088 by Factor Tree Method

We can follow the same procedure using the factor tree of 74088 as shown below:

So, the prime factorization of 74088 is, 74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 74088 are 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 74088 but not a prime factor of 74088.

• Which is the smallest prime factor of 74088?

Smallest prime factor of 74088 is 2.

• Is 74088 a perfect square?

No 74088 is not a perfect square.

• What is the prime factorization of 74088?

Prime factorization of 74088 is 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7.

• What is prime factorization of 74088 in exponential form?

Prime factorization of 74088 in exponential form is 23 x 33 x 73.

• Is 74088 a prime number or a composite number?

74088 is a composite number.

• Which is the largest prime factors of 74088?

The largest prime factor of 74088 is 7.

• What is the product of all prime factors of 74088?

Prime factors of 74088 are 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7. Therefore, their product is 74088.

• What numbers are the prime factors of 74088?

Prime factors of 74088 are 2 , 2 , 2 , 3 , 3 , 3 , 7 , 7 , 7.

• Is there any even prime factor of 74088?

Yes there is a even prime factor of 74088.