Q: What are the factor combinations of the number 45,042,845?

 A:
Positive:   1 x 450428455 x 900856931 x 145299553 x 849865155 x 290599265 x 1699731643 x 274155483 x 8215
Negative: -1 x -45042845-5 x -9008569-31 x -1452995-53 x -849865-155 x -290599-265 x -169973-1643 x -27415-5483 x -8215


How do I find the factor combinations of the number 45,042,845?

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 45,042,845, 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 45,042,845
-1 -45,042,845

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 45,042,845.

Example:
1 x 45,042,845 = 45,042,845
and
-1 x -45,042,845 = 45,042,845
Notice both answers equal 45,042,845

With that explanation out of the way, let's continue. Next, we take the number 45,042,845 and divide it by 2:

45,042,845 ÷ 2 = 22,521,422.5

If the quotient is a whole number, then 2 and 22,521,422.5 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 45,042,845
-1 -45,042,845

Now, we try dividing 45,042,845 by 3:

45,042,845 ÷ 3 = 15,014,281.6667

If the quotient is a whole number, then 3 and 15,014,281.6667 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 45,042,845
-1 -45,042,845

Let's try dividing by 4:

45,042,845 ÷ 4 = 11,260,711.25

If the quotient is a whole number, then 4 and 11,260,711.25 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 45,042,845
-1 45,042,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1531531552651,6435,4838,21527,415169,973290,599849,8651,452,9959,008,56945,042,845
-1-5-31-53-155-265-1,643-5,483-8,215-27,415-169,973-290,599-849,865-1,452,995-9,008,569-45,042,845

More Examples

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