Q: What are the factor combinations of the number 553,508,461?

 A:
Positive:   1 x 55350846111 x 50318951281 x 1969781331 x 1672231541 x 10231213091 x 1790713641 x 1520215951 x 93011
Negative: -1 x -553508461-11 x -50318951-281 x -1969781-331 x -1672231-541 x -1023121-3091 x -179071-3641 x -152021-5951 x -93011


How do I find the factor combinations of the number 553,508,461?

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 553,508,461, 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.

1 553,508,461
-1 -553,508,461

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 553,508,461.

Example:
1 x 553,508,461 = 553,508,461
and
-1 x -553,508,461 = 553,508,461
Notice both answers equal 553,508,461

With that explanation out of the way, let's continue. Next, we take the number 553,508,461 and divide it by 2:

553,508,461 ÷ 2 = 276,754,230.5

If the quotient is a whole number, then 2 and 276,754,230.5 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:

1 553,508,461
-1 -553,508,461

Now, we try dividing 553,508,461 by 3:

553,508,461 ÷ 3 = 184,502,820.3333

If the quotient is a whole number, then 3 and 184,502,820.3333 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:

1 553,508,461
-1 -553,508,461

Let's try dividing by 4:

553,508,461 ÷ 4 = 138,377,115.25

If the quotient is a whole number, then 4 and 138,377,115.25 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:

1 553,508,461
-1 553,508,461
Keep dividing by the next highest number until you cannot divide anymore.

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

1112813315413,0913,6415,95193,011152,021179,0711,023,1211,672,2311,969,78150,318,951553,508,461
-1-11-281-331-541-3,091-3,641-5,951-93,011-152,021-179,071-1,023,121-1,672,231-1,969,781-50,318,951-553,508,461

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