Q: What are the factor combinations of the number 553,044?

 A:
Positive:   1 x 5530442 x 2765223 x 1843484 x 1382616 x 9217412 x 4608717 x 3253234 x 1626651 x 1084468 x 8133102 x 5422204 x 2711
Negative: -1 x -553044-2 x -276522-3 x -184348-4 x -138261-6 x -92174-12 x -46087-17 x -32532-34 x -16266-51 x -10844-68 x -8133-102 x -5422-204 x -2711


How do I find the factor combinations of the number 553,044?

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 553,044, 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.

1 553,044
-1 -553,044

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 553,044.

Example:
1 x 553,044 = 553,044
and
-1 x -553,044 = 553,044
Notice both answers equal 553,044

With that explanation out of the way, let's continue. Next, we take the number 553,044 and divide it by 2:

553,044 ÷ 2 = 276,522

If the quotient is a whole number, then 2 and 276,522 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 2 276,522 553,044
-1 -2 -276,522 -553,044

Now, we try dividing 553,044 by 3:

553,044 ÷ 3 = 184,348

If the quotient is a whole number, then 3 and 184,348 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 3 184,348 276,522 553,044
-1 -2 -3 -184,348 -276,522 -553,044

Let's try dividing by 4:

553,044 ÷ 4 = 138,261

If the quotient is a whole number, then 4 and 138,261 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 4 138,261 184,348 276,522 553,044
-1 -2 -3 -4 -138,261 -184,348 -276,522 553,044
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612173451681022042,7115,4228,13310,84416,26632,53246,08792,174138,261184,348276,522553,044
-1-2-3-4-6-12-17-34-51-68-102-204-2,711-5,422-8,133-10,844-16,266-32,532-46,087-92,174-138,261-184,348-276,522-553,044

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