# Prime Factors of 58752

Prime Factors of 58752 are 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, and 17

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

 1.   Prime Factorization of 58752 by Division Method 2.   Prime Factorization of 58752 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 58752 by Division Method

To find the primefactors of 58752 using the division method, follow these steps:

• Step 1. Start dividing 58752 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 58752, which is 2. Divide 58752 by 2 to obtain the quotient (29376).
58752 ÷ 2 = 29376
• Step 3. Repeat step 1 with the obtained quotient (29376).
29376 ÷ 2 = 14688
14688 ÷ 2 = 7344
7344 ÷ 2 = 3672
3672 ÷ 2 = 1836
1836 ÷ 2 = 918
918 ÷ 2 = 459
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1

So, the prime factorization of 58752 is, 58752 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17.

#### Steps to find Prime Factors of 58752 by Factor Tree Method

We can follow the same procedure using the factor tree of 58752 as shown below:

So, the prime factorization of 58752 is, 58752 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17.

#### How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 58752 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17.

#### 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 58752 but not a prime factor of 58752.

• Which is the smallest prime factor of 58752?

Smallest prime factor of 58752 is 2.

• Is 58752 a perfect square?

No 58752 is not a perfect square.

• What is the prime factorization of 58752?

Prime factorization of 58752 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17.

• What is prime factorization of 58752 in exponential form?

Prime factorization of 58752 in exponential form is 27 x 33 x 17.

• Is 58752 a prime number or a composite number?

58752 is a composite number.

• Which is the largest prime factors of 58752?

The largest prime factor of 58752 is 17.

• What is the product of all prime factors of 58752?

Prime factors of 58752 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17. Therefore, their product is 58752.

• What numbers are the prime factors of 58752?

Prime factors of 58752 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 17.

• Is there any even prime factor of 58752?

Yes there is a even prime factor of 58752.