Q: What are the factor combinations of the number 553,220,443?

 A:
Positive:   1 x 55322044317 x 3254237929 x 19076567179 x 3090617493 x 11221513043 x 1818015191 x 1065736269 x 88247
Negative: -1 x -553220443-17 x -32542379-29 x -19076567-179 x -3090617-493 x -1122151-3043 x -181801-5191 x -106573-6269 x -88247


How do I find the factor combinations of the number 553,220,443?

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 553,220,443, 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.

1 553,220,443
-1 -553,220,443

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 553,220,443.

Example:
1 x 553,220,443 = 553,220,443
and
-1 x -553,220,443 = 553,220,443
Notice both answers equal 553,220,443

With that explanation out of the way, let's continue. Next, we take the number 553,220,443 and divide it by 2:

553,220,443 ÷ 2 = 276,610,221.5

If the quotient is a whole number, then 2 and 276,610,221.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 553,220,443
-1 -553,220,443

Now, we try dividing 553,220,443 by 3:

553,220,443 ÷ 3 = 184,406,814.3333

If the quotient is a whole number, then 3 and 184,406,814.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 553,220,443
-1 -553,220,443

Let's try dividing by 4:

553,220,443 ÷ 4 = 138,305,110.75

If the quotient is a whole number, then 4 and 138,305,110.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 553,220,443
-1 553,220,443
Keep dividing by the next highest number until you cannot divide anymore.

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

117291794933,0435,1916,26988,247106,573181,8011,122,1513,090,61719,076,56732,542,379553,220,443
-1-17-29-179-493-3,043-5,191-6,269-88,247-106,573-181,801-1,122,151-3,090,617-19,076,567-32,542,379-553,220,443

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