Q: What are the factor combinations of the number 364,633,787?

 A:
Positive:   1 x 3646337877 x 5209054141 x 8893507287 x 1270501359 x 10156932513 x 1450993539 x 10303314719 x 24773
Negative: -1 x -364633787-7 x -52090541-41 x -8893507-287 x -1270501-359 x -1015693-2513 x -145099-3539 x -103033-14719 x -24773


How do I find the factor combinations of the number 364,633,787?

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 364,633,787, 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.

1 364,633,787
-1 -364,633,787

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 364,633,787.

Example:
1 x 364,633,787 = 364,633,787
and
-1 x -364,633,787 = 364,633,787
Notice both answers equal 364,633,787

With that explanation out of the way, let's continue. Next, we take the number 364,633,787 and divide it by 2:

364,633,787 ÷ 2 = 182,316,893.5

If the quotient is a whole number, then 2 and 182,316,893.5 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:

1 364,633,787
-1 -364,633,787

Now, we try dividing 364,633,787 by 3:

364,633,787 ÷ 3 = 121,544,595.6667

If the quotient is a whole number, then 3 and 121,544,595.6667 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:

1 364,633,787
-1 -364,633,787

Let's try dividing by 4:

364,633,787 ÷ 4 = 91,158,446.75

If the quotient is a whole number, then 4 and 91,158,446.75 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:

1 364,633,787
-1 364,633,787
Keep dividing by the next highest number until you cannot divide anymore.

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

17412873592,5133,53914,71924,773103,033145,0991,015,6931,270,5018,893,50752,090,541364,633,787
-1-7-41-287-359-2,513-3,539-14,719-24,773-103,033-145,099-1,015,693-1,270,501-8,893,507-52,090,541-364,633,787

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