Factors of 803 are numbers that, when multiplied in pairs give the product as 803. There are overall 4 factors of 803 among which 803 is the biggest factor and 1, 11, 73, 803 are positive factors. The Prime Factors of 803 are 11 × 73 and its Factors in Pairs are (1, 803), (11, 73).

• All Factors of 803: 1, 11, 73 and 803
• Negative Factors of 803: -1, -11, -73 and -803
• Prime Factors of 803: 11, 73
• Prime Factorization of 803: 11¹ × 73¹
• Sum of Factors of 803: 888

1.	What Are the Factors of 803?
2.	Factors of 803 by Prime Factorization
3.	Factors of 803 in Pairs
4.	FAQs on Factors of 803

Factors of 803 are pairs of those numbers whose products result in 803. These factors are either prime numbers or composite numbers.

How to Find the Factors of 803?

To find the factors of 803, we will have to find the list of numbers that would divide 803 without leaving any remainder.

• 803/73 = 11; therefore, 73 is a factor of 803 and 11 is also a factor of 803.
• 803/803 = 1; therefore, 803 is a factor of 803 and 1 is also a factor of 803.

Similarly we can find other factors. Hence, the factors of 803 are 1, 11, 73, 803.

☛ Also Check:

• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 26 - The factors of 26 are 1, 2, 13, 26

The number 803 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 803. The first step is to divide the number 803 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 803 ÷ 11 = 73

Further dividing 73 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 73 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 803 can be written as 11¹ × 73¹ where 11, 73 are prime.

Pair factors of 803 are the pairs of numbers that when multiplied give the product 803. The factors of 803 in pairs are:

• 1 × 803 = (1, 803)
• 11 × 73 = (11, 73)

Negative pair factors of 803 are:

• -1 × -803 = (-1, -803)
• -11 × -73 = (-11, -73)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.