Q: What are the factor combinations of the number 224,440,315?

 A:
Positive:   1 x 2244403155 x 4488806311 x 2040366555 x 4080733337 x 6659951685 x 1331993707 x 6054512109 x 18535
Negative: -1 x -224440315-5 x -44888063-11 x -20403665-55 x -4080733-337 x -665995-1685 x -133199-3707 x -60545-12109 x -18535


How do I find the factor combinations of the number 224,440,315?

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 224,440,315, 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.

1 224,440,315
-1 -224,440,315

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 224,440,315.

Example:
1 x 224,440,315 = 224,440,315
and
-1 x -224,440,315 = 224,440,315
Notice both answers equal 224,440,315

With that explanation out of the way, let's continue. Next, we take the number 224,440,315 and divide it by 2:

224,440,315 ÷ 2 = 112,220,157.5

If the quotient is a whole number, then 2 and 112,220,157.5 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:

1 224,440,315
-1 -224,440,315

Now, we try dividing 224,440,315 by 3:

224,440,315 ÷ 3 = 74,813,438.3333

If the quotient is a whole number, then 3 and 74,813,438.3333 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:

1 224,440,315
-1 -224,440,315

Let's try dividing by 4:

224,440,315 ÷ 4 = 56,110,078.75

If the quotient is a whole number, then 4 and 56,110,078.75 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:

1 224,440,315
-1 224,440,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553371,6853,70712,10918,53560,545133,199665,9954,080,73320,403,66544,888,063224,440,315
-1-5-11-55-337-1,685-3,707-12,109-18,535-60,545-133,199-665,995-4,080,733-20,403,665-44,888,063-224,440,315

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