Q: What are the factor combinations of the number 763,596?

 A:
Positive:   1 x 7635962 x 3817983 x 2545324 x 1908996 x 1272669 x 8484412 x 6363318 x 4242236 x 21211
Negative: -1 x -763596-2 x -381798-3 x -254532-4 x -190899-6 x -127266-9 x -84844-12 x -63633-18 x -42422-36 x -21211


How do I find the factor combinations of the number 763,596?

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 divisors of larger numbers. To find the factor combinations of the number 763,596, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 763,596
-1 -763,596

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 763,596.

Example:
1 x 763,596 = 763,596
and
-1 x -763,596 = 763,596
Notice both answers equal 763,596

With that explanation out of the way, let's continue. Next, we take the number 763,596 and divide it by 2:

763,596 ÷ 2 = 381,798

If the quotient is a whole number, then 2 and 381,798 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 381,798 763,596
-1 -2 -381,798 -763,596

Now, we try dividing 763,596 by 3:

763,596 ÷ 3 = 254,532

If the quotient is a whole number, then 3 and 254,532 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 254,532 381,798 763,596
-1 -2 -3 -254,532 -381,798 -763,596

Let's try dividing by 4:

763,596 ÷ 4 = 190,899

If the quotient is a whole number, then 4 and 190,899 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 4 190,899 254,532 381,798 763,596
-1 -2 -3 -4 -190,899 -254,532 -381,798 763,596
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

12346912183621,21142,42263,63384,844127,266190,899254,532381,798763,596
-1-2-3-4-6-9-12-18-36-21,211-42,422-63,633-84,844-127,266-190,899-254,532-381,798-763,596

More Examples

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