Q: What are the factor combinations of the number 40,856,621?

 A:
Positive:   1 x 4085662113 x 314281729 x 140884937 x 1104233101 x 404521377 x 108373481 x 84941841 x 485811073 x 380771313 x 311172929 x 139493737 x 10933
Negative: -1 x -40856621-13 x -3142817-29 x -1408849-37 x -1104233-101 x -404521-377 x -108373-481 x -84941-841 x -48581-1073 x -38077-1313 x -31117-2929 x -13949-3737 x -10933


How do I find the factor combinations of the number 40,856,621?

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 40,856,621, 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 40,856,621
-1 -40,856,621

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 40,856,621.

Example:
1 x 40,856,621 = 40,856,621
and
-1 x -40,856,621 = 40,856,621
Notice both answers equal 40,856,621

With that explanation out of the way, let's continue. Next, we take the number 40,856,621 and divide it by 2:

40,856,621 ÷ 2 = 20,428,310.5

If the quotient is a whole number, then 2 and 20,428,310.5 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 40,856,621
-1 -40,856,621

Now, we try dividing 40,856,621 by 3:

40,856,621 ÷ 3 = 13,618,873.6667

If the quotient is a whole number, then 3 and 13,618,873.6667 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 40,856,621
-1 -40,856,621

Let's try dividing by 4:

40,856,621 ÷ 4 = 10,214,155.25

If the quotient is a whole number, then 4 and 10,214,155.25 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 40,856,621
-1 40,856,621
Keep dividing by the next highest number until you cannot divide anymore.

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

11329371013774818411,0731,3132,9293,73710,93313,94931,11738,07748,58184,941108,373404,5211,104,2331,408,8493,142,81740,856,621
-1-13-29-37-101-377-481-841-1,073-1,313-2,929-3,737-10,933-13,949-31,117-38,077-48,581-84,941-108,373-404,521-1,104,233-1,408,849-3,142,817-40,856,621

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