Q: What are the factor combinations of the number 107,060,707?

 A:
Positive:   1 x 10706070713 x 823543967 x 1597921101 x 1060007871 x 1229171217 x 879711313 x 815396767 x 15821
Negative: -1 x -107060707-13 x -8235439-67 x -1597921-101 x -1060007-871 x -122917-1217 x -87971-1313 x -81539-6767 x -15821


How do I find the factor combinations of the number 107,060,707?

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 107,060,707, 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.

1 107,060,707
-1 -107,060,707

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 107,060,707.

Example:
1 x 107,060,707 = 107,060,707
and
-1 x -107,060,707 = 107,060,707
Notice both answers equal 107,060,707

With that explanation out of the way, let's continue. Next, we take the number 107,060,707 and divide it by 2:

107,060,707 ÷ 2 = 53,530,353.5

If the quotient is a whole number, then 2 and 53,530,353.5 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:

1 107,060,707
-1 -107,060,707

Now, we try dividing 107,060,707 by 3:

107,060,707 ÷ 3 = 35,686,902.3333

If the quotient is a whole number, then 3 and 35,686,902.3333 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:

1 107,060,707
-1 -107,060,707

Let's try dividing by 4:

107,060,707 ÷ 4 = 26,765,176.75

If the quotient is a whole number, then 4 and 26,765,176.75 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:

1 107,060,707
-1 107,060,707
Keep dividing by the next highest number until you cannot divide anymore.

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

113671018711,2171,3136,76715,82181,53987,971122,9171,060,0071,597,9218,235,439107,060,707
-1-13-67-101-871-1,217-1,313-6,767-15,821-81,539-87,971-122,917-1,060,007-1,597,921-8,235,439-107,060,707

More Examples

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