Q: What are the factor combinations of the number 555,347,213?

 A:
Positive:   1 x 55534721323 x 2414553197 x 5725229229 x 24250971087 x 5108992231 x 2489235267 x 10543922213 x 25001
Negative: -1 x -555347213-23 x -24145531-97 x -5725229-229 x -2425097-1087 x -510899-2231 x -248923-5267 x -105439-22213 x -25001


How do I find the factor combinations of the number 555,347,213?

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 555,347,213, 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.

1 555,347,213
-1 -555,347,213

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 555,347,213.

Example:
1 x 555,347,213 = 555,347,213
and
-1 x -555,347,213 = 555,347,213
Notice both answers equal 555,347,213

With that explanation out of the way, let's continue. Next, we take the number 555,347,213 and divide it by 2:

555,347,213 ÷ 2 = 277,673,606.5

If the quotient is a whole number, then 2 and 277,673,606.5 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:

1 555,347,213
-1 -555,347,213

Now, we try dividing 555,347,213 by 3:

555,347,213 ÷ 3 = 185,115,737.6667

If the quotient is a whole number, then 3 and 185,115,737.6667 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:

1 555,347,213
-1 -555,347,213

Let's try dividing by 4:

555,347,213 ÷ 4 = 138,836,803.25

If the quotient is a whole number, then 4 and 138,836,803.25 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:

1 555,347,213
-1 555,347,213
Keep dividing by the next highest number until you cannot divide anymore.

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

123972291,0872,2315,26722,21325,001105,439248,923510,8992,425,0975,725,22924,145,531555,347,213
-1-23-97-229-1,087-2,231-5,267-22,213-25,001-105,439-248,923-510,899-2,425,097-5,725,229-24,145,531-555,347,213

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