Q: What are the factor combinations of the number 328,470,311?

 A:
Positive:   1 x 32847031113 x 2526694717 x 1932178341 x 8011471221 x 1486291533 x 616267697 x 4712639061 x 36251
Negative: -1 x -328470311-13 x -25266947-17 x -19321783-41 x -8011471-221 x -1486291-533 x -616267-697 x -471263-9061 x -36251


How do I find the factor combinations of the number 328,470,311?

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 328,470,311, 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.

1 328,470,311
-1 -328,470,311

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 328,470,311.

Example:
1 x 328,470,311 = 328,470,311
and
-1 x -328,470,311 = 328,470,311
Notice both answers equal 328,470,311

With that explanation out of the way, let's continue. Next, we take the number 328,470,311 and divide it by 2:

328,470,311 ÷ 2 = 164,235,155.5

If the quotient is a whole number, then 2 and 164,235,155.5 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:

1 328,470,311
-1 -328,470,311

Now, we try dividing 328,470,311 by 3:

328,470,311 ÷ 3 = 109,490,103.6667

If the quotient is a whole number, then 3 and 109,490,103.6667 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:

1 328,470,311
-1 -328,470,311

Let's try dividing by 4:

328,470,311 ÷ 4 = 82,117,577.75

If the quotient is a whole number, then 4 and 82,117,577.75 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:

1 328,470,311
-1 328,470,311
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336979,06136,251471,263616,2671,486,2918,011,47119,321,78325,266,947328,470,311
-1-13-17-41-221-533-697-9,061-36,251-471,263-616,267-1,486,291-8,011,471-19,321,783-25,266,947-328,470,311

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