Q: What are the factor combinations of the number 46,373,747?

 A:
Positive:   1 x 463737477 x 662482141 x 113106749 x 946403287 x 161581563 x 823691681 x 275872009 x 230833941 x 11767
Negative: -1 x -46373747-7 x -6624821-41 x -1131067-49 x -946403-287 x -161581-563 x -82369-1681 x -27587-2009 x -23083-3941 x -11767


How do I find the factor combinations of the number 46,373,747?

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 46,373,747, 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 46,373,747
-1 -46,373,747

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 46,373,747.

Example:
1 x 46,373,747 = 46,373,747
and
-1 x -46,373,747 = 46,373,747
Notice both answers equal 46,373,747

With that explanation out of the way, let's continue. Next, we take the number 46,373,747 and divide it by 2:

46,373,747 ÷ 2 = 23,186,873.5

If the quotient is a whole number, then 2 and 23,186,873.5 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 46,373,747
-1 -46,373,747

Now, we try dividing 46,373,747 by 3:

46,373,747 ÷ 3 = 15,457,915.6667

If the quotient is a whole number, then 3 and 15,457,915.6667 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 46,373,747
-1 -46,373,747

Let's try dividing by 4:

46,373,747 ÷ 4 = 11,593,436.75

If the quotient is a whole number, then 4 and 11,593,436.75 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 46,373,747
-1 46,373,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1741492875631,6812,0093,94111,76723,08327,58782,369161,581946,4031,131,0676,624,82146,373,747
-1-7-41-49-287-563-1,681-2,009-3,941-11,767-23,083-27,587-82,369-161,581-946,403-1,131,067-6,624,821-46,373,747

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