Q: What are the factor combinations of the number 200,545,513?

 A:
Positive:   1 x 2005455137 x 2864935919 x 1055502737 x 542014983 x 2416211133 x 1507861259 x 774307491 x 408443581 x 345173703 x 2852711577 x 1271693071 x 653033437 x 583494921 x 407539329 x 2149711039 x 18167
Negative: -1 x -200545513-7 x -28649359-19 x -10555027-37 x -5420149-83 x -2416211-133 x -1507861-259 x -774307-491 x -408443-581 x -345173-703 x -285271-1577 x -127169-3071 x -65303-3437 x -58349-4921 x -40753-9329 x -21497-11039 x -18167


How do I find the factor combinations of the number 200,545,513?

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 200,545,513, 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.

1 200,545,513
-1 -200,545,513

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 200,545,513.

Example:
1 x 200,545,513 = 200,545,513
and
-1 x -200,545,513 = 200,545,513
Notice both answers equal 200,545,513

With that explanation out of the way, let's continue. Next, we take the number 200,545,513 and divide it by 2:

200,545,513 ÷ 2 = 100,272,756.5

If the quotient is a whole number, then 2 and 100,272,756.5 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:

1 200,545,513
-1 -200,545,513

Now, we try dividing 200,545,513 by 3:

200,545,513 ÷ 3 = 66,848,504.3333

If the quotient is a whole number, then 3 and 66,848,504.3333 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:

1 200,545,513
-1 -200,545,513

Let's try dividing by 4:

200,545,513 ÷ 4 = 50,136,378.25

If the quotient is a whole number, then 4 and 50,136,378.25 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:

1 200,545,513
-1 200,545,513
Keep dividing by the next highest number until you cannot divide anymore.

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

171937831332594915817031,5773,0713,4374,9219,32911,03918,16721,49740,75358,34965,303127,169285,271345,173408,443774,3071,507,8612,416,2115,420,14910,555,02728,649,359200,545,513
-1-7-19-37-83-133-259-491-581-703-1,577-3,071-3,437-4,921-9,329-11,039-18,167-21,497-40,753-58,349-65,303-127,169-285,271-345,173-408,443-774,307-1,507,861-2,416,211-5,420,149-10,555,027-28,649,359-200,545,513

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