Q: What are the factor combinations of the number 43,386,625?

 A:
Positive:   1 x 433866255 x 867732523 x 188637525 x 1735465115 x 377275125 x 347093575 x 754552875 x 15091
Negative: -1 x -43386625-5 x -8677325-23 x -1886375-25 x -1735465-115 x -377275-125 x -347093-575 x -75455-2875 x -15091


How do I find the factor combinations of the number 43,386,625?

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 43,386,625, 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 43,386,625
-1 -43,386,625

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 43,386,625.

Example:
1 x 43,386,625 = 43,386,625
and
-1 x -43,386,625 = 43,386,625
Notice both answers equal 43,386,625

With that explanation out of the way, let's continue. Next, we take the number 43,386,625 and divide it by 2:

43,386,625 ÷ 2 = 21,693,312.5

If the quotient is a whole number, then 2 and 21,693,312.5 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 43,386,625
-1 -43,386,625

Now, we try dividing 43,386,625 by 3:

43,386,625 ÷ 3 = 14,462,208.3333

If the quotient is a whole number, then 3 and 14,462,208.3333 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 43,386,625
-1 -43,386,625

Let's try dividing by 4:

43,386,625 ÷ 4 = 10,846,656.25

If the quotient is a whole number, then 4 and 10,846,656.25 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 43,386,625
-1 43,386,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255752,87515,09175,455347,093377,2751,735,4651,886,3758,677,32543,386,625
-1-5-23-25-115-125-575-2,875-15,091-75,455-347,093-377,275-1,735,465-1,886,375-8,677,325-43,386,625

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