Q: What are the factor combinations of the number 382,746,545?

 A:
Positive:   1 x 3827465455 x 7654930919 x 2014455567 x 571263595 x 4028911335 x 11425271273 x 3006656365 x 60133
Negative: -1 x -382746545-5 x -76549309-19 x -20144555-67 x -5712635-95 x -4028911-335 x -1142527-1273 x -300665-6365 x -60133


How do I find the factor combinations of the number 382,746,545?

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 382,746,545, 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.

1 382,746,545
-1 -382,746,545

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 382,746,545.

Example:
1 x 382,746,545 = 382,746,545
and
-1 x -382,746,545 = 382,746,545
Notice both answers equal 382,746,545

With that explanation out of the way, let's continue. Next, we take the number 382,746,545 and divide it by 2:

382,746,545 ÷ 2 = 191,373,272.5

If the quotient is a whole number, then 2 and 191,373,272.5 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:

1 382,746,545
-1 -382,746,545

Now, we try dividing 382,746,545 by 3:

382,746,545 ÷ 3 = 127,582,181.6667

If the quotient is a whole number, then 3 and 127,582,181.6667 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:

1 382,746,545
-1 -382,746,545

Let's try dividing by 4:

382,746,545 ÷ 4 = 95,686,636.25

If the quotient is a whole number, then 4 and 95,686,636.25 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:

1 382,746,545
-1 382,746,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151967953351,2736,36560,133300,6651,142,5274,028,9115,712,63520,144,55576,549,309382,746,545
-1-5-19-67-95-335-1,273-6,365-60,133-300,665-1,142,527-4,028,911-5,712,635-20,144,555-76,549,309-382,746,545

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