# What are all the factors, the prime factorization, and factor pairs of 770?

To find the factors of 770, divide 770 by each number starting with 1 and working up to 770

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 770 ?

To calculate the factors of 770 , you can use the division method.

1. Begin by dividing 770 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 770.

3. Continue dividing 770 by larger numbers until you find an odd number that does not divide evenly into 770 .

4. The numbers that divide evenly into 770 are the factors of 770 .

Now let us find how to calculate all the factors of Seven hundred seventy :

770 ÷ 1 = 770
770 ÷ 2 = 385
770 ÷ 5 = 154
770 ÷ 7 = 110
770 ÷ 10 = 77
770 ÷ 11 = 70
770 ÷ 14 = 55
770 ÷ 22 = 35
770 ÷ 35 = 22
770 ÷ 55 = 14
770 ÷ 70 = 11
770 ÷ 77 = 10
770 ÷ 110 = 7
770 ÷ 154 = 5
770 ÷ 385 = 2
770 ÷ 770 = 1

As you can see, the factors of 770 are 1 , 2 , 5 , 7 , 10 , 11 , 14 , 22 , 35 , 55 , 70 , 77 , 110 , 154 , 385 and 770 .

## How many factors of 770 are there ?

The factors of 770 are the numbers that can evenly divide 770 . These numbers are 1 , 2 , 5 , 7 , 10 , 11 , 14 , 22 , 35 , 55 , 70 , 77 , 110 , 154 , 385 and 770.

Thus, there are a total of 16 factors of 770

## What are the factor pairs of 770 ?

Factor Pairs of 770 are combinations of two factors that when multiplied together equal 770. There are many ways to calculate the factor pairs of 770 .

One easy way is to list out the factors of 770 :
1 , 2 , 5 , 7 , 10 , 11 , 14 , 22 , 35 , 55 , 70 , 77 , 110 , 154 , 385 , 770

Then, pair up the factors:
(1,770),(2,385),(5,154),(7,110),(10,77),(11,70),(14,55) and (22,35) These are the factor pairs of 770 .

## Prime Factorisation of 770

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 770 using a factor tree, we would start by writing 770 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 770 would be 2 x 5 x 7 x 11.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 770 using this method, we keep dividing until it gives a non-zero remainder.

770 ÷ 2 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So the prime factors of 770 are 2 x 5 x 7 x 11.

## Frequently Asked Questions on Factors

### What are all the factors of 770 ?

The factors of 770 are 1 , 2 , 5 , 7 , 10 , 11 , 14 , 22 , 35 , 55 , 70 , 77 , 110 , 154 , 385 and 770.

### What is the prime factorization of 770 ?

The prime factorization of 770 is 2 x 5 x 7 x 11 or 21 x 51 x 71 x 111, where 2 , 5 , 7 , 11 are the prime numbers .

### What are the prime factors of 770 ?

The prime factors of 770 are 2 , 5 , 7 , 11 .

### Is 770 a prime number ?

A prime number is a number that has only two factors 1 and itself.
770 it is not a prime number because it has the factors 1 , 2 , 5 , 7 , 10 , 11 , 14 , 22 , 35 , 55 , 70 , 77 , 110 , 154 , 385 and 770.