Q: What are the factor combinations of the number 126,001,715?

 A:
Positive:   1 x 1260017155 x 252003437 x 1800024535 x 3600049797 x 1580953985 x 316194517 x 278955579 x 22585
Negative: -1 x -126001715-5 x -25200343-7 x -18000245-35 x -3600049-797 x -158095-3985 x -31619-4517 x -27895-5579 x -22585


How do I find the factor combinations of the number 126,001,715?

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 126,001,715, 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.

1 126,001,715
-1 -126,001,715

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 126,001,715.

Example:
1 x 126,001,715 = 126,001,715
and
-1 x -126,001,715 = 126,001,715
Notice both answers equal 126,001,715

With that explanation out of the way, let's continue. Next, we take the number 126,001,715 and divide it by 2:

126,001,715 ÷ 2 = 63,000,857.5

If the quotient is a whole number, then 2 and 63,000,857.5 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:

1 126,001,715
-1 -126,001,715

Now, we try dividing 126,001,715 by 3:

126,001,715 ÷ 3 = 42,000,571.6667

If the quotient is a whole number, then 3 and 42,000,571.6667 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:

1 126,001,715
-1 -126,001,715

Let's try dividing by 4:

126,001,715 ÷ 4 = 31,500,428.75

If the quotient is a whole number, then 4 and 31,500,428.75 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:

1 126,001,715
-1 126,001,715
Keep dividing by the next highest number until you cannot divide anymore.

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

157357973,9854,5175,57922,58527,89531,619158,0953,600,04918,000,24525,200,343126,001,715
-1-5-7-35-797-3,985-4,517-5,579-22,585-27,895-31,619-158,095-3,600,049-18,000,245-25,200,343-126,001,715

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