Q: What are the factor combinations of the number 558,254,544?

 A:
Positive:   1 x 5582545442 x 2791272723 x 1860848484 x 1395636366 x 930424248 x 6978181812 x 4652121216 x 3489090924 x 2326060648 x 11630303
Negative: -1 x -558254544-2 x -279127272-3 x -186084848-4 x -139563636-6 x -93042424-8 x -69781818-12 x -46521212-16 x -34890909-24 x -23260606-48 x -11630303


How do I find the factor combinations of the number 558,254,544?

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 558,254,544, 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.

1 558,254,544
-1 -558,254,544

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 558,254,544.

Example:
1 x 558,254,544 = 558,254,544
and
-1 x -558,254,544 = 558,254,544
Notice both answers equal 558,254,544

With that explanation out of the way, let's continue. Next, we take the number 558,254,544 and divide it by 2:

558,254,544 ÷ 2 = 279,127,272

If the quotient is a whole number, then 2 and 279,127,272 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 2 279,127,272 558,254,544
-1 -2 -279,127,272 -558,254,544

Now, we try dividing 558,254,544 by 3:

558,254,544 ÷ 3 = 186,084,848

If the quotient is a whole number, then 3 and 186,084,848 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 3 186,084,848 279,127,272 558,254,544
-1 -2 -3 -186,084,848 -279,127,272 -558,254,544

Let's try dividing by 4:

558,254,544 ÷ 4 = 139,563,636

If the quotient is a whole number, then 4 and 139,563,636 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 4 139,563,636 186,084,848 279,127,272 558,254,544
-1 -2 -3 -4 -139,563,636 -186,084,848 -279,127,272 558,254,544
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681216244811,630,30323,260,60634,890,90946,521,21269,781,81893,042,424139,563,636186,084,848279,127,272558,254,544
-1-2-3-4-6-8-12-16-24-48-11,630,303-23,260,606-34,890,909-46,521,212-69,781,818-93,042,424-139,563,636-186,084,848-279,127,272-558,254,544

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