Q: What are the factor combinations of the number 50,460,709?

 A:
Positive:   1 x 5046070913 x 388159317 x 296827741 x 1230749221 x 228329533 x 94673697 x 723975569 x 9061
Negative: -1 x -50460709-13 x -3881593-17 x -2968277-41 x -1230749-221 x -228329-533 x -94673-697 x -72397-5569 x -9061


How do I find the factor combinations of the number 50,460,709?

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 50,460,709, 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 50,460,709
-1 -50,460,709

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 50,460,709.

Example:
1 x 50,460,709 = 50,460,709
and
-1 x -50,460,709 = 50,460,709
Notice both answers equal 50,460,709

With that explanation out of the way, let's continue. Next, we take the number 50,460,709 and divide it by 2:

50,460,709 ÷ 2 = 25,230,354.5

If the quotient is a whole number, then 2 and 25,230,354.5 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 50,460,709
-1 -50,460,709

Now, we try dividing 50,460,709 by 3:

50,460,709 ÷ 3 = 16,820,236.3333

If the quotient is a whole number, then 3 and 16,820,236.3333 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 50,460,709
-1 -50,460,709

Let's try dividing by 4:

50,460,709 ÷ 4 = 12,615,177.25

If the quotient is a whole number, then 4 and 12,615,177.25 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 50,460,709
-1 50,460,709
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336975,5699,06172,39794,673228,3291,230,7492,968,2773,881,59350,460,709
-1-13-17-41-221-533-697-5,569-9,061-72,397-94,673-228,329-1,230,749-2,968,277-3,881,593-50,460,709

More Examples

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