Q: What are the factor combinations of the number 43,525,445?

 A:
Positive:   1 x 435254455 x 870508979 x 550955101 x 430945395 x 110191505 x 861891091 x 398955455 x 7979
Negative: -1 x -43525445-5 x -8705089-79 x -550955-101 x -430945-395 x -110191-505 x -86189-1091 x -39895-5455 x -7979


How do I find the factor combinations of the number 43,525,445?

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 43,525,445, 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 43,525,445
-1 -43,525,445

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 43,525,445.

Example:
1 x 43,525,445 = 43,525,445
and
-1 x -43,525,445 = 43,525,445
Notice both answers equal 43,525,445

With that explanation out of the way, let's continue. Next, we take the number 43,525,445 and divide it by 2:

43,525,445 ÷ 2 = 21,762,722.5

If the quotient is a whole number, then 2 and 21,762,722.5 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 43,525,445
-1 -43,525,445

Now, we try dividing 43,525,445 by 3:

43,525,445 ÷ 3 = 14,508,481.6667

If the quotient is a whole number, then 3 and 14,508,481.6667 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 43,525,445
-1 -43,525,445

Let's try dividing by 4:

43,525,445 ÷ 4 = 10,881,361.25

If the quotient is a whole number, then 4 and 10,881,361.25 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 43,525,445
-1 43,525,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15791013955051,0915,4557,97939,89586,189110,191430,945550,9558,705,08943,525,445
-1-5-79-101-395-505-1,091-5,455-7,979-39,895-86,189-110,191-430,945-550,955-8,705,089-43,525,445

More Examples

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