Q: What are the factor combinations of the number 224,133,013?

 A:
Positive:   1 x 22413301313 x 1724100137 x 605764971 x 3156803481 x 465973923 x 2428312627 x 853196563 x 34151
Negative: -1 x -224133013-13 x -17241001-37 x -6057649-71 x -3156803-481 x -465973-923 x -242831-2627 x -85319-6563 x -34151


How do I find the factor combinations of the number 224,133,013?

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 224,133,013, 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.

1 224,133,013
-1 -224,133,013

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 224,133,013.

Example:
1 x 224,133,013 = 224,133,013
and
-1 x -224,133,013 = 224,133,013
Notice both answers equal 224,133,013

With that explanation out of the way, let's continue. Next, we take the number 224,133,013 and divide it by 2:

224,133,013 ÷ 2 = 112,066,506.5

If the quotient is a whole number, then 2 and 112,066,506.5 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:

1 224,133,013
-1 -224,133,013

Now, we try dividing 224,133,013 by 3:

224,133,013 ÷ 3 = 74,711,004.3333

If the quotient is a whole number, then 3 and 74,711,004.3333 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:

1 224,133,013
-1 -224,133,013

Let's try dividing by 4:

224,133,013 ÷ 4 = 56,033,253.25

If the quotient is a whole number, then 4 and 56,033,253.25 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:

1 224,133,013
-1 224,133,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11337714819232,6276,56334,15185,319242,831465,9733,156,8036,057,64917,241,001224,133,013
-1-13-37-71-481-923-2,627-6,563-34,151-85,319-242,831-465,973-3,156,803-6,057,649-17,241,001-224,133,013

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