Q: What are the factor combinations of the number 43,512,685?

 A:
Positive:   1 x 435126855 x 870253731 x 140363541 x 1061285155 x 280727167 x 260555205 x 212257835 x 521111271 x 342351681 x 258855177 x 84056355 x 6847
Negative: -1 x -43512685-5 x -8702537-31 x -1403635-41 x -1061285-155 x -280727-167 x -260555-205 x -212257-835 x -52111-1271 x -34235-1681 x -25885-5177 x -8405-6355 x -6847


How do I find the factor combinations of the number 43,512,685?

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 43,512,685, 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 43,512,685
-1 -43,512,685

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 43,512,685.

Example:
1 x 43,512,685 = 43,512,685
and
-1 x -43,512,685 = 43,512,685
Notice both answers equal 43,512,685

With that explanation out of the way, let's continue. Next, we take the number 43,512,685 and divide it by 2:

43,512,685 ÷ 2 = 21,756,342.5

If the quotient is a whole number, then 2 and 21,756,342.5 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 43,512,685
-1 -43,512,685

Now, we try dividing 43,512,685 by 3:

43,512,685 ÷ 3 = 14,504,228.3333

If the quotient is a whole number, then 3 and 14,504,228.3333 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 43,512,685
-1 -43,512,685

Let's try dividing by 4:

43,512,685 ÷ 4 = 10,878,171.25

If the quotient is a whole number, then 4 and 10,878,171.25 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 43,512,685
-1 43,512,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1531411551672058351,2711,6815,1776,3556,8478,40525,88534,23552,111212,257260,555280,7271,061,2851,403,6358,702,53743,512,685
-1-5-31-41-155-167-205-835-1,271-1,681-5,177-6,355-6,847-8,405-25,885-34,235-52,111-212,257-260,555-280,727-1,061,285-1,403,635-8,702,537-43,512,685

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