Q: What are the factor combinations of the number 404,152,363?

 A:
Positive:   1 x 40415236319 x 2127117731 x 13037173263 x 1536701589 x 6861672609 x 1549074997 x 808798153 x 49571
Negative: -1 x -404152363-19 x -21271177-31 x -13037173-263 x -1536701-589 x -686167-2609 x -154907-4997 x -80879-8153 x -49571


How do I find the factor combinations of the number 404,152,363?

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 404,152,363, 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.

1 404,152,363
-1 -404,152,363

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 404,152,363.

Example:
1 x 404,152,363 = 404,152,363
and
-1 x -404,152,363 = 404,152,363
Notice both answers equal 404,152,363

With that explanation out of the way, let's continue. Next, we take the number 404,152,363 and divide it by 2:

404,152,363 ÷ 2 = 202,076,181.5

If the quotient is a whole number, then 2 and 202,076,181.5 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:

1 404,152,363
-1 -404,152,363

Now, we try dividing 404,152,363 by 3:

404,152,363 ÷ 3 = 134,717,454.3333

If the quotient is a whole number, then 3 and 134,717,454.3333 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:

1 404,152,363
-1 -404,152,363

Let's try dividing by 4:

404,152,363 ÷ 4 = 101,038,090.75

If the quotient is a whole number, then 4 and 101,038,090.75 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:

1 404,152,363
-1 404,152,363
Keep dividing by the next highest number until you cannot divide anymore.

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

119312635892,6094,9978,15349,57180,879154,907686,1671,536,70113,037,17321,271,177404,152,363
-1-19-31-263-589-2,609-4,997-8,153-49,571-80,879-154,907-686,167-1,536,701-13,037,173-21,271,177-404,152,363

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