Factors of 403 are numbers that, when multiplied in pairs give the product as 403. There are 4 factors of 403 of which 403 itself is the biggest factor and its positive factors are 1, 13, 31, 403. The Prime Factors of 403 are 13 × 31 and its Factors in Pairs are (1, 403), (13, 31).

• All Factors of 403: 1, 13, 31 and 403
• Negative Factors of 403: -1, -13, -31 and -403
• Prime Factors of 403: 13, 31
• Prime Factorization of 403: 13¹ × 31¹
• Sum of Factors of 403: 448

1.	What Are the Factors of 403?
2.	Factors of 403 by Prime Factorization
3.	Factors of 403 in Pairs
4.	FAQs on Factors of 403

Factors of 403 are pairs of those numbers whose products result in 403. These factors are either prime numbers or composite numbers.

How to Find the Factors of 403?

To find the factors of 403, we will have to find the list of numbers that would divide 403 without leaving any remainder.

• 403/31 = 13; therefore, 31 is a factor of 403 and 13 is also a factor of 403.
• 403/403 = 1; therefore, 403 is a factor of 403 and 1 is also a factor of 403.

Similarly we can find other factors. Hence, the factors of 403 are 1, 13, 31, 403.

☛ Also Check:

• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 65 - The factors of 65 are 1, 5, 13, 65

The number 403 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 403. The first step is to divide the number 403 with the smallest prime factor, here it is 13. We keep dividing until it gives a non-zero remainder.

• 403 ÷ 13 = 31

Further dividing 31 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 31 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 403 can be written as 13¹ × 31¹ where 13, 31 are prime.

Pair factors of 403 are the pairs of numbers that when multiplied give the product 403. The factors of 403 in pairs are:

• 1 × 403 = (1, 403)
• 13 × 31 = (13, 31)

Negative pair factors of 403 are:

• -1 × -403 = (-1, -403)
• -13 × -31 = (-13, -31)

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