Factors of 788 are integers that can be divided evenly into 788. There are overall 6 factors of 788 among which 788 is the biggest factor and its positive factors are 1, 2, 4, 197, 394, 788. The sum of all factors of 788 is 1386 and its factors in Pairs are (1, 788), (2, 394), (4, 197).

• All Factors of 788: 1, 2, 4, 197, 394 and 788
• Negative Factors of 788: -1, -2, -4, -197, -394 and -788
• Prime Factors of 788: 2, 197
• Prime Factorization of 788: 2² × 197¹
• Sum of Factors of 788: 1386

1.	What Are the Factors of 788?
2.	Factors of 788 by Prime Factorization
3.	Factors of 788 in Pairs
4.	FAQs on Factors of 788

Factors of 788 are pairs of those numbers whose products result in 788. These factors are either prime numbers or composite numbers.

How to Find the Factors of 788?

To find the factors of 788, we will have to find the list of numbers that would divide 788 without leaving any remainder.

• 788/788 = 1; therefore, 788 is a factor of 788.
• 788/197 = 4; therefore, 197 is a factor of 788.

Similarly we can find other factors. Hence, the factors of 788 are 1, 2, 4, 197, 394, 788.

☛ Also Check:

• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 11 - The factors of 11 are 1, 11

The number 788 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 788. The first step is to divide the number 788 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 788 ÷ 2 = 394
• 394 ÷ 2 = 197

Further dividing 197 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 197 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 788 can be written as 2² × 197¹ where 2, 197 are prime.

Pair factors of 788 are the pairs of numbers that when multiplied give the product 788. The factors of 788 in pairs are:

• 1 × 788 = (1, 788)
• 2 × 394 = (2, 394)
• 4 × 197 = (4, 197)

Negative pair factors of 788 are:

• -1 × -788 = (-1, -788)
• -2 × -394 = (-2, -394)
• -4 × -197 = (-4, -197)

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