Q: What are the factor combinations of the number 43,567,741?

 A:
Positive:   1 x 435677417 x 622396319 x 229303931 x 1405411133 x 327577217 x 200773589 x 739694123 x 10567
Negative: -1 x -43567741-7 x -6223963-19 x -2293039-31 x -1405411-133 x -327577-217 x -200773-589 x -73969-4123 x -10567


How do I find the factor combinations of the number 43,567,741?

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 43,567,741, 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 43,567,741
-1 -43,567,741

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 43,567,741.

Example:
1 x 43,567,741 = 43,567,741
and
-1 x -43,567,741 = 43,567,741
Notice both answers equal 43,567,741

With that explanation out of the way, let's continue. Next, we take the number 43,567,741 and divide it by 2:

43,567,741 ÷ 2 = 21,783,870.5

If the quotient is a whole number, then 2 and 21,783,870.5 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 43,567,741
-1 -43,567,741

Now, we try dividing 43,567,741 by 3:

43,567,741 ÷ 3 = 14,522,580.3333

If the quotient is a whole number, then 3 and 14,522,580.3333 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 43,567,741
-1 -43,567,741

Let's try dividing by 4:

43,567,741 ÷ 4 = 10,891,935.25

If the quotient is a whole number, then 4 and 10,891,935.25 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 43,567,741
-1 43,567,741
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175894,12310,56773,969200,773327,5771,405,4112,293,0396,223,96343,567,741
-1-7-19-31-133-217-589-4,123-10,567-73,969-200,773-327,577-1,405,411-2,293,039-6,223,963-43,567,741

More Examples

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