Q: What are the factor combinations of the number 45,051,413?

 A:
Positive:   1 x 4505141311 x 409558319 x 237112729 x 1553497209 x 215557319 x 141227551 x 817636061 x 7433
Negative: -1 x -45051413-11 x -4095583-19 x -2371127-29 x -1553497-209 x -215557-319 x -141227-551 x -81763-6061 x -7433


How do I find the factor combinations of the number 45,051,413?

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 45,051,413, 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 45,051,413
-1 -45,051,413

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 45,051,413.

Example:
1 x 45,051,413 = 45,051,413
and
-1 x -45,051,413 = 45,051,413
Notice both answers equal 45,051,413

With that explanation out of the way, let's continue. Next, we take the number 45,051,413 and divide it by 2:

45,051,413 ÷ 2 = 22,525,706.5

If the quotient is a whole number, then 2 and 22,525,706.5 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 45,051,413
-1 -45,051,413

Now, we try dividing 45,051,413 by 3:

45,051,413 ÷ 3 = 15,017,137.6667

If the quotient is a whole number, then 3 and 15,017,137.6667 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 45,051,413
-1 -45,051,413

Let's try dividing by 4:

45,051,413 ÷ 4 = 11,262,853.25

If the quotient is a whole number, then 4 and 11,262,853.25 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 45,051,413
-1 45,051,413
Keep dividing by the next highest number until you cannot divide anymore.

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

11119292093195516,0617,43381,763141,227215,5571,553,4972,371,1274,095,58345,051,413
-1-11-19-29-209-319-551-6,061-7,433-81,763-141,227-215,557-1,553,497-2,371,127-4,095,583-45,051,413

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