Q: What are the factor combinations of the number 224,224,013?

 A:
Positive:   1 x 22422401313 x 1724800159 x 3800407283 x 792311767 x 2923391033 x 2170613679 x 6094713429 x 16697
Negative: -1 x -224224013-13 x -17248001-59 x -3800407-283 x -792311-767 x -292339-1033 x -217061-3679 x -60947-13429 x -16697


How do I find the factor combinations of the number 224,224,013?

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 224,224,013, 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.

1 224,224,013
-1 -224,224,013

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 224,224,013.

Example:
1 x 224,224,013 = 224,224,013
and
-1 x -224,224,013 = 224,224,013
Notice both answers equal 224,224,013

With that explanation out of the way, let's continue. Next, we take the number 224,224,013 and divide it by 2:

224,224,013 ÷ 2 = 112,112,006.5

If the quotient is a whole number, then 2 and 112,112,006.5 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:

1 224,224,013
-1 -224,224,013

Now, we try dividing 224,224,013 by 3:

224,224,013 ÷ 3 = 74,741,337.6667

If the quotient is a whole number, then 3 and 74,741,337.6667 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:

1 224,224,013
-1 -224,224,013

Let's try dividing by 4:

224,224,013 ÷ 4 = 56,056,003.25

If the quotient is a whole number, then 4 and 56,056,003.25 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:

1 224,224,013
-1 224,224,013
Keep dividing by the next highest number until you cannot divide anymore.

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

113592837671,0333,67913,42916,69760,947217,061292,339792,3113,800,40717,248,001224,224,013
-1-13-59-283-767-1,033-3,679-13,429-16,697-60,947-217,061-292,339-792,311-3,800,407-17,248,001-224,224,013

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