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).

You are watching: What is the prime factorization of 385

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 ## What are 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 385 by Prime Factorization

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.

## Factors of 385 in Pairs

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.

## Factors of 385 Solved Examples

Example 1: How many factors are there for 385?

Solution:

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. Therefore, 385 has 8 factors.

Example 3: Find if 5, 11, 35, 37 and 77 are factors of 385.

Solution:

When we divide 385 by 37 it leaves a remainder. Therefore, the number 37 is not a factor of 385. All numbers except 37 are factors of 385.

Example 4: Find the product of all the prime factors of 385.

See more: Which Explorer Discovered The Long Awaited Eastern Sea Route To Asia

Solution:

Since, the prime factors of 385 are 5, 7, 11. Therefore, the product of prime factors = 5 × 7 × 11 = 385.

Show Solution >

go to slidego to slidego to slidego to slide Ready to see the world through math’s eyes?
Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

## Interactive Questions

go to slidego to slidego to slidego to slidego to slide

## FAQs on Factors of 385

### What are the Factors of 385?

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385 and its negative factors are -1, -5, -7, -11, -35, -55, -77, -385.

### What is the Sum of all Factors of 385?

Sum of all factors of 385 = (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) × (111 + 1 - 1)/(11 - 1) = 576

### What Numbers are the Prime Factors of 385?

The prime factors of 385 are 5, 7, 11.

### What is the Greatest Common Factor of 385 and 34?

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385 and the factors of 34 are 1, 2, 17, 34. 385 and 34 have only one common factor which is 1. This implies that 385 and 34 are co-prime. Hence, the Greatest Common Factor (GCF) of 385 and 34 is 1.

### What are the Common Factors of 385 and 356?

Since, the factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385 and factors of 356 are 1, 2, 4, 89, 178, 356. Hence, 385 and 356 have only one common factor which is 1. Therefore, 385 and 356 are co-prime.