Q: What are the factor combinations of the number 372,547,553?

 A:
Positive:   1 x 3725475537 x 5322107931 x 12017663113 x 3296881217 x 1716809791 x 4709833503 x 10635115193 x 24521
Negative: -1 x -372547553-7 x -53221079-31 x -12017663-113 x -3296881-217 x -1716809-791 x -470983-3503 x -106351-15193 x -24521


How do I find the factor combinations of the number 372,547,553?

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 372,547,553, 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.

1 372,547,553
-1 -372,547,553

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 372,547,553.

Example:
1 x 372,547,553 = 372,547,553
and
-1 x -372,547,553 = 372,547,553
Notice both answers equal 372,547,553

With that explanation out of the way, let's continue. Next, we take the number 372,547,553 and divide it by 2:

372,547,553 ÷ 2 = 186,273,776.5

If the quotient is a whole number, then 2 and 186,273,776.5 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:

1 372,547,553
-1 -372,547,553

Now, we try dividing 372,547,553 by 3:

372,547,553 ÷ 3 = 124,182,517.6667

If the quotient is a whole number, then 3 and 124,182,517.6667 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:

1 372,547,553
-1 -372,547,553

Let's try dividing by 4:

372,547,553 ÷ 4 = 93,136,888.25

If the quotient is a whole number, then 4 and 93,136,888.25 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:

1 372,547,553
-1 372,547,553
Keep dividing by the next highest number until you cannot divide anymore.

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

17311132177913,50315,19324,521106,351470,9831,716,8093,296,88112,017,66353,221,079372,547,553
-1-7-31-113-217-791-3,503-15,193-24,521-106,351-470,983-1,716,809-3,296,881-12,017,663-53,221,079-372,547,553

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