Q: What are the factor combinations of the number 43,804,745?

 A:
Positive:   1 x 438047455 x 876094943 x 101871573 x 600065215 x 203743365 x 1200132791 x 156953139 x 13955
Negative: -1 x -43804745-5 x -8760949-43 x -1018715-73 x -600065-215 x -203743-365 x -120013-2791 x -15695-3139 x -13955


How do I find the factor combinations of the number 43,804,745?

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 43,804,745, 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 43,804,745
-1 -43,804,745

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 43,804,745.

Example:
1 x 43,804,745 = 43,804,745
and
-1 x -43,804,745 = 43,804,745
Notice both answers equal 43,804,745

With that explanation out of the way, let's continue. Next, we take the number 43,804,745 and divide it by 2:

43,804,745 ÷ 2 = 21,902,372.5

If the quotient is a whole number, then 2 and 21,902,372.5 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 43,804,745
-1 -43,804,745

Now, we try dividing 43,804,745 by 3:

43,804,745 ÷ 3 = 14,601,581.6667

If the quotient is a whole number, then 3 and 14,601,581.6667 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 43,804,745
-1 -43,804,745

Let's try dividing by 4:

43,804,745 ÷ 4 = 10,951,186.25

If the quotient is a whole number, then 4 and 10,951,186.25 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 43,804,745
-1 43,804,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1543732153652,7913,13913,95515,695120,013203,743600,0651,018,7158,760,94943,804,745
-1-5-43-73-215-365-2,791-3,139-13,955-15,695-120,013-203,743-600,065-1,018,715-8,760,949-43,804,745

More Examples

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