# Prime Factors of 1036

Prime Factors of 1036 are 2, 2, 7, and 37

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

 1.   Prime Factorization of 1036 by Division Method 2.   Prime Factorization of 1036 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1036 by Division Method

To find the primefactors of 1036 using the division method, follow these steps:

• Step 1. Start dividing 1036 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 1036, which is 2. Divide 1036 by 2 to obtain the quotient (518).
1036 ÷ 2 = 518
• Step 3. Repeat step 1 with the obtained quotient (518).
518 ÷ 2 = 259
259 ÷ 7 = 37
37 ÷ 37 = 1

So, the prime factorization of 1036 is, 1036 = 2 x 2 x 7 x 37.

#### Steps to find Prime Factors of 1036 by Factor Tree Method

We can follow the same procedure using the factor tree of 1036 as shown below:

So, the prime factorization of 1036 is, 1036 = 2 x 2 x 7 x 37.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1036 are 2 x 2 x 7 x 37.

#### 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 1036 but not a prime factor of 1036.

#### Frequently Asked Questions

• Which is the smallest prime factor of 1036?

Smallest prime factor of 1036 is 2.

• What is the prime factorization of 1036?

Prime factorization of 1036 is 2 x 2 x 7 x 37.

• What are the factors of 1036?

Factors of 1036 are 1 , 2 , 4 , 7 , 14 , 28 , 37 , 74 , 148 , 259 , 518 , 1036.

• Is 1036 a prime number or a composite number?

1036 is a composite number.

• Is 1036 a prime number?

false, 1036 is not a prime number.

• Which is the largest prime factors of 1036?

The largest prime factor of 1036 is 37.

• What is the sum of all prime factors of 1036?

Prime factors of 1036 are 2 x 2 x 7 x 37. Therefore, their sum is 48.

• What numbers are the prime factors of 1036?

Prime factors of 1036 are 2 , 2 , 7 , 37.

• What is the sum of all odd prime factors of 1036?

Prime factors of 1036 are 2 , 2 , 7 , 37, out of which 7 , 37 are odd numbers. So, the sum of odd prime factors of 1036 is 7 + 37 = 44.

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