Q: What are the factor combinations of the number 46,040,813?

 A:
Positive:   1 x 460408137 x 657725913 x 354160191 x 505943383 x 1202111321 x 348532681 x 171734979 x 9247
Negative: -1 x -46040813-7 x -6577259-13 x -3541601-91 x -505943-383 x -120211-1321 x -34853-2681 x -17173-4979 x -9247


How do I find the factor combinations of the number 46,040,813?

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 46,040,813, 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 46,040,813
-1 -46,040,813

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 46,040,813.

Example:
1 x 46,040,813 = 46,040,813
and
-1 x -46,040,813 = 46,040,813
Notice both answers equal 46,040,813

With that explanation out of the way, let's continue. Next, we take the number 46,040,813 and divide it by 2:

46,040,813 ÷ 2 = 23,020,406.5

If the quotient is a whole number, then 2 and 23,020,406.5 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 46,040,813
-1 -46,040,813

Now, we try dividing 46,040,813 by 3:

46,040,813 ÷ 3 = 15,346,937.6667

If the quotient is a whole number, then 3 and 15,346,937.6667 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 46,040,813
-1 -46,040,813

Let's try dividing by 4:

46,040,813 ÷ 4 = 11,510,203.25

If the quotient is a whole number, then 4 and 11,510,203.25 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 46,040,813
-1 46,040,813
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913831,3212,6814,9799,24717,17334,853120,211505,9433,541,6016,577,25946,040,813
-1-7-13-91-383-1,321-2,681-4,979-9,247-17,173-34,853-120,211-505,943-3,541,601-6,577,259-46,040,813

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