Factors of 385 are integers that can be divided evenly into 385. There are overall 8 factors of 385 among which 385 is the biggest factor and 1, 5, 7, 11, 35, 55, 77, 385 are positive factors. The Prime Factors of 385 are 5 × 7 × 11 and its Factors in Pairs are (1, 385), (5, 77), (7, 55), (11, 35).

• All Factors of 385: 1, 5, 7, 11, 35, 55, 77 and 385
• Negative Factors of 385: -1, -5, -7, -11, -35, -55, -77 and -385
• Prime Factors of 385: 5, 7, 11
• Prime Factorization of 385: 5¹ × 7¹ × 11¹
• Sum of Factors of 385: 576

1.	What Are the Factors of 385?
2.	Factors of 385 by Prime Factorization
3.	Factors of 385 in Pairs
4.	FAQs on Factors of 385

Factors of 385 are pairs of those numbers whose products result in 385. These factors are either prime numbers or composite numbers.

How to Find the Factors of 385?

To find the factors of 385, we will have to find the list of numbers that would divide 385 without leaving any remainder.

• 385/35 = 11; therefore, 35 is a factor of 385 and 11 is also a factor of 385.
• 385/55 = 7; therefore, 55 is a factor of 385 and 7 is also a factor of 385.

Similarly we can find other factors. Hence, the factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385.

☛ Also Check:

• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 13 - The factors of 13 are 1, 13

The number 385 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 385. The first step is to divide the number 385 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 385 ÷ 5 = 77

Further dividing 77 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 77 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 385 can be written as 5¹ × 7¹ × 11¹ where 5, 7, 11 are prime.

Pair factors of 385 are the pairs of numbers that when multiplied give the product 385. The factors of 385 in pairs are:

• 1 × 385 = (1, 385)
• 5 × 77 = (5, 77)
• 7 × 55 = (7, 55)
• 11 × 35 = (11, 35)

Negative pair factors of 385 are:

• -1 × -385 = (-1, -385)
• -5 × -77 = (-5, -77)
• -7 × -55 = (-7, -55)
• -11 × -35 = (-11, -35)

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