Q: What are the factor combinations of the number 803,562,383?

 A:
Positive:   1 x 80356238313 x 6181249119 x 42292757169 x 4754807247 x 32532893211 x 250253
Negative: -1 x -803562383-13 x -61812491-19 x -42292757-169 x -4754807-247 x -3253289-3211 x -250253


How do I find the factor combinations of the number 803,562,383?

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 803,562,383, 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.

1 803,562,383
-1 -803,562,383

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 803,562,383.

Example:
1 x 803,562,383 = 803,562,383
and
-1 x -803,562,383 = 803,562,383
Notice both answers equal 803,562,383

With that explanation out of the way, let's continue. Next, we take the number 803,562,383 and divide it by 2:

803,562,383 ÷ 2 = 401,781,191.5

If the quotient is a whole number, then 2 and 401,781,191.5 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:

1 803,562,383
-1 -803,562,383

Now, we try dividing 803,562,383 by 3:

803,562,383 ÷ 3 = 267,854,127.6667

If the quotient is a whole number, then 3 and 267,854,127.6667 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:

1 803,562,383
-1 -803,562,383

Let's try dividing by 4:

803,562,383 ÷ 4 = 200,890,595.75

If the quotient is a whole number, then 4 and 200,890,595.75 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:

1 803,562,383
-1 803,562,383
Keep dividing by the next highest number until you cannot divide anymore.

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

113191692473,211250,2533,253,2894,754,80742,292,75761,812,491803,562,383
-1-13-19-169-247-3,211-250,253-3,253,289-4,754,807-42,292,757-61,812,491-803,562,383

More Examples

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