Q: What are the factor combinations of the number 402,331,319?

 A:
Positive:   1 x 40233131913 x 3094856341 x 9812959179 x 2247661533 x 7548432327 x 1728974217 x 954077339 x 54821
Negative: -1 x -402331319-13 x -30948563-41 x -9812959-179 x -2247661-533 x -754843-2327 x -172897-4217 x -95407-7339 x -54821


How do I find the factor combinations of the number 402,331,319?

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 402,331,319, 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.

1 402,331,319
-1 -402,331,319

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 402,331,319.

Example:
1 x 402,331,319 = 402,331,319
and
-1 x -402,331,319 = 402,331,319
Notice both answers equal 402,331,319

With that explanation out of the way, let's continue. Next, we take the number 402,331,319 and divide it by 2:

402,331,319 ÷ 2 = 201,165,659.5

If the quotient is a whole number, then 2 and 201,165,659.5 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:

1 402,331,319
-1 -402,331,319

Now, we try dividing 402,331,319 by 3:

402,331,319 ÷ 3 = 134,110,439.6667

If the quotient is a whole number, then 3 and 134,110,439.6667 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:

1 402,331,319
-1 -402,331,319

Let's try dividing by 4:

402,331,319 ÷ 4 = 100,582,829.75

If the quotient is a whole number, then 4 and 100,582,829.75 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:

1 402,331,319
-1 402,331,319
Keep dividing by the next highest number until you cannot divide anymore.

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

113411795332,3274,2177,33954,82195,407172,897754,8432,247,6619,812,95930,948,563402,331,319
-1-13-41-179-533-2,327-4,217-7,339-54,821-95,407-172,897-754,843-2,247,661-9,812,959-30,948,563-402,331,319

More Examples

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