Q: What are the factor combinations of the number 552,013,145?

 A:
Positive:   1 x 5520131455 x 11040262943 x 1283751559 x 9356155215 x 2567503295 x 18712312537 x 21758512685 x 43517
Negative: -1 x -552013145-5 x -110402629-43 x -12837515-59 x -9356155-215 x -2567503-295 x -1871231-2537 x -217585-12685 x -43517


How do I find the factor combinations of the number 552,013,145?

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 552,013,145, 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.

1 552,013,145
-1 -552,013,145

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 552,013,145.

Example:
1 x 552,013,145 = 552,013,145
and
-1 x -552,013,145 = 552,013,145
Notice both answers equal 552,013,145

With that explanation out of the way, let's continue. Next, we take the number 552,013,145 and divide it by 2:

552,013,145 ÷ 2 = 276,006,572.5

If the quotient is a whole number, then 2 and 276,006,572.5 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:

1 552,013,145
-1 -552,013,145

Now, we try dividing 552,013,145 by 3:

552,013,145 ÷ 3 = 184,004,381.6667

If the quotient is a whole number, then 3 and 184,004,381.6667 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:

1 552,013,145
-1 -552,013,145

Let's try dividing by 4:

552,013,145 ÷ 4 = 138,003,286.25

If the quotient is a whole number, then 4 and 138,003,286.25 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:

1 552,013,145
-1 552,013,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1543592152952,53712,68543,517217,5851,871,2312,567,5039,356,15512,837,515110,402,629552,013,145
-1-5-43-59-215-295-2,537-12,685-43,517-217,585-1,871,231-2,567,503-9,356,155-12,837,515-110,402,629-552,013,145

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