Q: What are the factor combinations of the number 46,762,345?

 A:
Positive:   1 x 467623455 x 93524697 x 668033535 x 133606741 x 1140545205 x 228109287 x 1629351435 x 32587
Negative: -1 x -46762345-5 x -9352469-7 x -6680335-35 x -1336067-41 x -1140545-205 x -228109-287 x -162935-1435 x -32587


How do I find the factor combinations of the number 46,762,345?

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 46,762,345, 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 46,762,345
-1 -46,762,345

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 46,762,345.

Example:
1 x 46,762,345 = 46,762,345
and
-1 x -46,762,345 = 46,762,345
Notice both answers equal 46,762,345

With that explanation out of the way, let's continue. Next, we take the number 46,762,345 and divide it by 2:

46,762,345 ÷ 2 = 23,381,172.5

If the quotient is a whole number, then 2 and 23,381,172.5 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 46,762,345
-1 -46,762,345

Now, we try dividing 46,762,345 by 3:

46,762,345 ÷ 3 = 15,587,448.3333

If the quotient is a whole number, then 3 and 15,587,448.3333 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 46,762,345
-1 -46,762,345

Let's try dividing by 4:

46,762,345 ÷ 4 = 11,690,586.25

If the quotient is a whole number, then 4 and 11,690,586.25 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 46,762,345
-1 46,762,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43532,587162,935228,1091,140,5451,336,0676,680,3359,352,46946,762,345
-1-5-7-35-41-205-287-1,435-32,587-162,935-228,109-1,140,545-1,336,067-6,680,335-9,352,469-46,762,345

More Examples

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