Q: What are the factor combinations of the number 552,614,353?

 A:
Positive:   1 x 55261435323 x 24026711197 x 28051494531 x 121963
Negative: -1 x -552614353-23 x -24026711-197 x -2805149-4531 x -121963


How do I find the factor combinations of the number 552,614,353?

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 552,614,353, 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.

1 552,614,353
-1 -552,614,353

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 552,614,353.

Example:
1 x 552,614,353 = 552,614,353
and
-1 x -552,614,353 = 552,614,353
Notice both answers equal 552,614,353

With that explanation out of the way, let's continue. Next, we take the number 552,614,353 and divide it by 2:

552,614,353 ÷ 2 = 276,307,176.5

If the quotient is a whole number, then 2 and 276,307,176.5 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:

1 552,614,353
-1 -552,614,353

Now, we try dividing 552,614,353 by 3:

552,614,353 ÷ 3 = 184,204,784.3333

If the quotient is a whole number, then 3 and 184,204,784.3333 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:

1 552,614,353
-1 -552,614,353

Let's try dividing by 4:

552,614,353 ÷ 4 = 138,153,588.25

If the quotient is a whole number, then 4 and 138,153,588.25 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:

1 552,614,353
-1 552,614,353
Keep dividing by the next highest number until you cannot divide anymore.

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

1231974,531121,9632,805,14924,026,711552,614,353
-1-23-197-4,531-121,963-2,805,149-24,026,711-552,614,353

More Examples

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