Q: What are the factor combinations of the number 32,888,639?

 A:
Positive:   1 x 328886397 x 469837719 x 173098129 x 1134091133 x 247283203 x 162013551 x 596893857 x 8527
Negative: -1 x -32888639-7 x -4698377-19 x -1730981-29 x -1134091-133 x -247283-203 x -162013-551 x -59689-3857 x -8527


How do I find the factor combinations of the number 32,888,639?

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 32,888,639, 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 32,888,639
-1 -32,888,639

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 32,888,639.

Example:
1 x 32,888,639 = 32,888,639
and
-1 x -32,888,639 = 32,888,639
Notice both answers equal 32,888,639

With that explanation out of the way, let's continue. Next, we take the number 32,888,639 and divide it by 2:

32,888,639 ÷ 2 = 16,444,319.5

If the quotient is a whole number, then 2 and 16,444,319.5 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 32,888,639
-1 -32,888,639

Now, we try dividing 32,888,639 by 3:

32,888,639 ÷ 3 = 10,962,879.6667

If the quotient is a whole number, then 3 and 10,962,879.6667 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 32,888,639
-1 -32,888,639

Let's try dividing by 4:

32,888,639 ÷ 4 = 8,222,159.75

If the quotient is a whole number, then 4 and 8,222,159.75 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 32,888,639
-1 32,888,639
Keep dividing by the next highest number until you cannot divide anymore.

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

1719291332035513,8578,52759,689162,013247,2831,134,0911,730,9814,698,37732,888,639
-1-7-19-29-133-203-551-3,857-8,527-59,689-162,013-247,283-1,134,091-1,730,981-4,698,377-32,888,639

More Examples

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