Q: What are the factor combinations of the number 71,601,035?

 A:
Positive:   1 x 716010355 x 1432020711 x 650918555 x 130183797 x 738155485 x 1476311067 x 671055335 x 13421
Negative: -1 x -71601035-5 x -14320207-11 x -6509185-55 x -1301837-97 x -738155-485 x -147631-1067 x -67105-5335 x -13421


How do I find the factor combinations of the number 71,601,035?

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 71,601,035, 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 71,601,035
-1 -71,601,035

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 71,601,035.

Example:
1 x 71,601,035 = 71,601,035
and
-1 x -71,601,035 = 71,601,035
Notice both answers equal 71,601,035

With that explanation out of the way, let's continue. Next, we take the number 71,601,035 and divide it by 2:

71,601,035 ÷ 2 = 35,800,517.5

If the quotient is a whole number, then 2 and 35,800,517.5 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 71,601,035
-1 -71,601,035

Now, we try dividing 71,601,035 by 3:

71,601,035 ÷ 3 = 23,867,011.6667

If the quotient is a whole number, then 3 and 23,867,011.6667 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 71,601,035
-1 -71,601,035

Let's try dividing by 4:

71,601,035 ÷ 4 = 17,900,258.75

If the quotient is a whole number, then 4 and 17,900,258.75 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 71,601,035
-1 71,601,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151155974851,0675,33513,42167,105147,631738,1551,301,8376,509,18514,320,20771,601,035
-1-5-11-55-97-485-1,067-5,335-13,421-67,105-147,631-738,155-1,301,837-6,509,185-14,320,207-71,601,035

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