Q: What are the factor combinations of the number 460,722,763?

 A:
Positive:   1 x 46072276317 x 2710133971 x 6489053419 x 1099577911 x 5057331207 x 3817097123 x 6468115487 x 29749
Negative: -1 x -460722763-17 x -27101339-71 x -6489053-419 x -1099577-911 x -505733-1207 x -381709-7123 x -64681-15487 x -29749


How do I find the factor combinations of the number 460,722,763?

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 460,722,763, 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.

1 460,722,763
-1 -460,722,763

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 460,722,763.

Example:
1 x 460,722,763 = 460,722,763
and
-1 x -460,722,763 = 460,722,763
Notice both answers equal 460,722,763

With that explanation out of the way, let's continue. Next, we take the number 460,722,763 and divide it by 2:

460,722,763 ÷ 2 = 230,361,381.5

If the quotient is a whole number, then 2 and 230,361,381.5 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:

1 460,722,763
-1 -460,722,763

Now, we try dividing 460,722,763 by 3:

460,722,763 ÷ 3 = 153,574,254.3333

If the quotient is a whole number, then 3 and 153,574,254.3333 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:

1 460,722,763
-1 -460,722,763

Let's try dividing by 4:

460,722,763 ÷ 4 = 115,180,690.75

If the quotient is a whole number, then 4 and 115,180,690.75 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:

1 460,722,763
-1 460,722,763
Keep dividing by the next highest number until you cannot divide anymore.

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

117714199111,2077,12315,48729,74964,681381,709505,7331,099,5776,489,05327,101,339460,722,763
-1-17-71-419-911-1,207-7,123-15,487-29,749-64,681-381,709-505,733-1,099,577-6,489,053-27,101,339-460,722,763

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