Q: What are the factor combinations of the number 224,402,321?

 A:
Positive:   1 x 22440232111 x 2040021113 x 17261717143 x 1569247509 x 4408693083 x 727875599 x 400796617 x 33913
Negative: -1 x -224402321-11 x -20400211-13 x -17261717-143 x -1569247-509 x -440869-3083 x -72787-5599 x -40079-6617 x -33913


How do I find the factor combinations of the number 224,402,321?

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 224,402,321, 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.

1 224,402,321
-1 -224,402,321

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 224,402,321.

Example:
1 x 224,402,321 = 224,402,321
and
-1 x -224,402,321 = 224,402,321
Notice both answers equal 224,402,321

With that explanation out of the way, let's continue. Next, we take the number 224,402,321 and divide it by 2:

224,402,321 ÷ 2 = 112,201,160.5

If the quotient is a whole number, then 2 and 112,201,160.5 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:

1 224,402,321
-1 -224,402,321

Now, we try dividing 224,402,321 by 3:

224,402,321 ÷ 3 = 74,800,773.6667

If the quotient is a whole number, then 3 and 74,800,773.6667 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:

1 224,402,321
-1 -224,402,321

Let's try dividing by 4:

224,402,321 ÷ 4 = 56,100,580.25

If the quotient is a whole number, then 4 and 56,100,580.25 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:

1 224,402,321
-1 224,402,321
Keep dividing by the next highest number until you cannot divide anymore.

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

111131435093,0835,5996,61733,91340,07972,787440,8691,569,24717,261,71720,400,211224,402,321
-1-11-13-143-509-3,083-5,599-6,617-33,913-40,079-72,787-440,869-1,569,247-17,261,717-20,400,211-224,402,321

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 224,402,321:


Ask a Question