What are all the factors, the prime factorization, and factor pairs of 1170?

To find the factors of 1170, divide 1170 by each number starting with 1 and working up to 1170

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 1170 ?

To calculate the factors of 1170 , you can use the division method.

   1. Begin by dividing 1170 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 1170.

   3. Continue dividing 1170 by larger numbers until you find an odd number that does not divide evenly into 1170 .

   4. The numbers that divide evenly into 1170 are the factors of 1170 .

Now let us find how to calculate all the factors of One thousand one hundred seventy :

    1170 ÷ 1 = 1170
    1170 ÷ 2 = 585
    1170 ÷ 3 = 390
    1170 ÷ 5 = 234
    1170 ÷ 6 = 195
    1170 ÷ 9 = 130
    1170 ÷ 10 = 117
    1170 ÷ 13 = 90
    1170 ÷ 15 = 78
    1170 ÷ 18 = 65
    1170 ÷ 26 = 45
    1170 ÷ 30 = 39
    1170 ÷ 39 = 30
    1170 ÷ 45 = 26
    1170 ÷ 65 = 18
    1170 ÷ 78 = 15
    1170 ÷ 90 = 13
    1170 ÷ 117 = 10
    1170 ÷ 130 = 9
    1170 ÷ 195 = 6
    1170 ÷ 234 = 5
    1170 ÷ 390 = 3
    1170 ÷ 585 = 2
    1170 ÷ 1170 = 1

As you can see, the factors of 1170 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 13 , 15 , 18 , 26 , 30 , 39 , 45 , 65 , 78 , 90 , 117 , 130 , 195 , 234 , 390 , 585 and 1170 .

How to Write Numbers in French Similar to 1170?

How many factors of 1170 are there ?

The factors of 1170 are the numbers that can evenly divide 1170 . These numbers are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 13 , 15 , 18 , 26 , 30 , 39 , 45 , 65 , 78 , 90 , 117 , 130 , 195 , 234 , 390 , 585 and 1170.

Thus, there are a total of 24 factors of 1170

What are the factor pairs of 1170 ?

Factor Pairs of 1170 are combinations of two factors that when multiplied together equal 1170. There are many ways to calculate the factor pairs of 1170 .

One easy way is to list out the factors of 1170 :
   1 , 2 , 3 , 5 , 6 , 9 , 10 , 13 , 15 , 18 , 26 , 30 , 39 , 45 , 65 , 78 , 90 , 117 , 130 , 195 , 234 , 390 , 585 , 1170

Then, pair up the factors:
   (1,1170),(2,585),(3,390),(5,234),(6,195),(9,130),(10,117),(13,90),(15,78),(18,65),(26,45) and (30,39) These are the factor pairs of 1170 .

Prime Factorisation of 1170

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 1170 using a factor tree, we would start by writing 1170 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 1170 would be 2 x 3 x 3 x 5 x 13.

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 1170 using this method, we keep dividing until it gives a non-zero remainder.

    1170 ÷ 2 = 585
    585 ÷ 3 = 195
    195 ÷ 3 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So the prime factors of 1170 are 2 x 3 x 3 x 5 x 13.

Frequently Asked Questions on Factors

What are all the factors of 1170 ?

The factors of 1170 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 13 , 15 , 18 , 26 , 30 , 39 , 45 , 65 , 78 , 90 , 117 , 130 , 195 , 234 , 390 , 585 and 1170.

What is the prime factorization of 1170 ?

The prime factorization of 1170 is 2 x 3 x 3 x 5 x 13 or 21 x 32 x 51 x 131, where 2 , 3 , 5 , 13 are the prime numbers .

What are the prime factors of 1170 ?

The prime factors of 1170 are 2 , 3 , 5 , 13 .

Is 1170 a prime number ?

A prime number is a number that has only two factors 1 and itself.
1170 it is not a prime number because it has the factors 1 , 2 , 3 , 5 , 6 , 9 , 10 , 13 , 15 , 18 , 26 , 30 , 39 , 45 , 65 , 78 , 90 , 117 , 130 , 195 , 234 , 390 , 585 and 1170.

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