Q: What are the factor combinations of the number 224,220,353?

 A:
Positive:   1 x 2242203537 x 3203147923 x 9748711151 x 1484903161 x 1392673401 x 559153529 x 4238571057 x 2121292807 x 798793473 x 645613703 x 605519223 x 24311
Negative: -1 x -224220353-7 x -32031479-23 x -9748711-151 x -1484903-161 x -1392673-401 x -559153-529 x -423857-1057 x -212129-2807 x -79879-3473 x -64561-3703 x -60551-9223 x -24311


How do I find the factor combinations of the number 224,220,353?

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 224,220,353, 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.

1 224,220,353
-1 -224,220,353

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 224,220,353.

Example:
1 x 224,220,353 = 224,220,353
and
-1 x -224,220,353 = 224,220,353
Notice both answers equal 224,220,353

With that explanation out of the way, let's continue. Next, we take the number 224,220,353 and divide it by 2:

224,220,353 ÷ 2 = 112,110,176.5

If the quotient is a whole number, then 2 and 112,110,176.5 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:

1 224,220,353
-1 -224,220,353

Now, we try dividing 224,220,353 by 3:

224,220,353 ÷ 3 = 74,740,117.6667

If the quotient is a whole number, then 3 and 74,740,117.6667 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:

1 224,220,353
-1 -224,220,353

Let's try dividing by 4:

224,220,353 ÷ 4 = 56,055,088.25

If the quotient is a whole number, then 4 and 56,055,088.25 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:

1 224,220,353
-1 224,220,353
Keep dividing by the next highest number until you cannot divide anymore.

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

17231511614015291,0572,8073,4733,7039,22324,31160,55164,56179,879212,129423,857559,1531,392,6731,484,9039,748,71132,031,479224,220,353
-1-7-23-151-161-401-529-1,057-2,807-3,473-3,703-9,223-24,311-60,551-64,561-79,879-212,129-423,857-559,153-1,392,673-1,484,903-9,748,711-32,031,479-224,220,353

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