Q: What are the factor combinations of the number 555,220,351?

 A:
Positive:   1 x 5552203517 x 793171933617 x 15350321929 x 25319
Negative: -1 x -555220351-7 x -79317193-3617 x -153503-21929 x -25319


How do I find the factor combinations of the number 555,220,351?

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 555,220,351, 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.

1 555,220,351
-1 -555,220,351

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 555,220,351.

Example:
1 x 555,220,351 = 555,220,351
and
-1 x -555,220,351 = 555,220,351
Notice both answers equal 555,220,351

With that explanation out of the way, let's continue. Next, we take the number 555,220,351 and divide it by 2:

555,220,351 ÷ 2 = 277,610,175.5

If the quotient is a whole number, then 2 and 277,610,175.5 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:

1 555,220,351
-1 -555,220,351

Now, we try dividing 555,220,351 by 3:

555,220,351 ÷ 3 = 185,073,450.3333

If the quotient is a whole number, then 3 and 185,073,450.3333 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:

1 555,220,351
-1 -555,220,351

Let's try dividing by 4:

555,220,351 ÷ 4 = 138,805,087.75

If the quotient is a whole number, then 4 and 138,805,087.75 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:

1 555,220,351
-1 555,220,351
Keep dividing by the next highest number until you cannot divide anymore.

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

173,61721,92925,319153,50379,317,193555,220,351
-1-7-3,617-21,929-25,319-153,503-79,317,193-555,220,351

More Examples

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