Q: What are the factor combinations of the number 107,157,743?

 A:
Positive:   1 x 1071577437 x 1530824911 x 974161377 x 139165997 x 1104719679 x 1578171067 x 1004297469 x 14347
Negative: -1 x -107157743-7 x -15308249-11 x -9741613-77 x -1391659-97 x -1104719-679 x -157817-1067 x -100429-7469 x -14347


How do I find the factor combinations of the number 107,157,743?

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 107,157,743, 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.

1 107,157,743
-1 -107,157,743

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 107,157,743.

Example:
1 x 107,157,743 = 107,157,743
and
-1 x -107,157,743 = 107,157,743
Notice both answers equal 107,157,743

With that explanation out of the way, let's continue. Next, we take the number 107,157,743 and divide it by 2:

107,157,743 ÷ 2 = 53,578,871.5

If the quotient is a whole number, then 2 and 53,578,871.5 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:

1 107,157,743
-1 -107,157,743

Now, we try dividing 107,157,743 by 3:

107,157,743 ÷ 3 = 35,719,247.6667

If the quotient is a whole number, then 3 and 35,719,247.6667 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:

1 107,157,743
-1 -107,157,743

Let's try dividing by 4:

107,157,743 ÷ 4 = 26,789,435.75

If the quotient is a whole number, then 4 and 26,789,435.75 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:

1 107,157,743
-1 107,157,743
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0677,46914,347100,429157,8171,104,7191,391,6599,741,61315,308,249107,157,743
-1-7-11-77-97-679-1,067-7,469-14,347-100,429-157,817-1,104,719-1,391,659-9,741,613-15,308,249-107,157,743

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