Q: What are the factors or divisors of the number 780?

 A: 123456101213152026303952606578130156195260390780

How do I find the factors or divisors of the number 780?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 780, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 780

Next, we take the number 780 and divide it by 2.

In this case, 780 ÷ 2 = 390

If the quotient is a whole number, then 2 and 390 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 390 780

Now, we try dividing 780 by 3.

780 ÷ 3 = 260

If the quotient is a whole number, then 3 and 260 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 260 390 780

Let's try dividing by 4.

780 ÷ 4 = 195

If the quotient is a whole number, then 4 and 195 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 4 195 260 390 780

We keep dividing by the next largest number, in this case the number 5. If the quotient of 780 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

123456101213152026303952606578130156195260390780

All of the numbers in the table above can be evenly divided into the number 780.

Finally, for your reference, here are all of the divisor combinations of the number 780:

1 x 7802 x 3903 x 2604 x 1955 x 1566 x 13010 x 7812 x 6513 x 6015 x 5220 x 3926 x 30


More Examples

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