Q: What are the factor combinations of the number 553,062,523?

 A:
Positive:   1 x 55306252313 x 4254327171 x 7789613223 x 2480101923 x 5992012687 x 2058292899 x 19077715833 x 34931
Negative: -1 x -553062523-13 x -42543271-71 x -7789613-223 x -2480101-923 x -599201-2687 x -205829-2899 x -190777-15833 x -34931


How do I find the factor combinations of the number 553,062,523?

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 553,062,523, 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.

1 553,062,523
-1 -553,062,523

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 553,062,523.

Example:
1 x 553,062,523 = 553,062,523
and
-1 x -553,062,523 = 553,062,523
Notice both answers equal 553,062,523

With that explanation out of the way, let's continue. Next, we take the number 553,062,523 and divide it by 2:

553,062,523 ÷ 2 = 276,531,261.5

If the quotient is a whole number, then 2 and 276,531,261.5 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:

1 553,062,523
-1 -553,062,523

Now, we try dividing 553,062,523 by 3:

553,062,523 ÷ 3 = 184,354,174.3333

If the quotient is a whole number, then 3 and 184,354,174.3333 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:

1 553,062,523
-1 -553,062,523

Let's try dividing by 4:

553,062,523 ÷ 4 = 138,265,630.75

If the quotient is a whole number, then 4 and 138,265,630.75 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:

1 553,062,523
-1 553,062,523
Keep dividing by the next highest number until you cannot divide anymore.

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

113712239232,6872,89915,83334,931190,777205,829599,2012,480,1017,789,61342,543,271553,062,523
-1-13-71-223-923-2,687-2,899-15,833-34,931-190,777-205,829-599,201-2,480,101-7,789,613-42,543,271-553,062,523

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