Q: What are the factor combinations of the number 87,725,071?

 A:
Positive:   1 x 877250717 x 1253215319 x 461710931 x 2829841133 x 659587217 x 404263589 x 1489394123 x 21277
Negative: -1 x -87725071-7 x -12532153-19 x -4617109-31 x -2829841-133 x -659587-217 x -404263-589 x -148939-4123 x -21277


How do I find the factor combinations of the number 87,725,071?

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 87,725,071, 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 87,725,071
-1 -87,725,071

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 87,725,071.

Example:
1 x 87,725,071 = 87,725,071
and
-1 x -87,725,071 = 87,725,071
Notice both answers equal 87,725,071

With that explanation out of the way, let's continue. Next, we take the number 87,725,071 and divide it by 2:

87,725,071 ÷ 2 = 43,862,535.5

If the quotient is a whole number, then 2 and 43,862,535.5 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 87,725,071
-1 -87,725,071

Now, we try dividing 87,725,071 by 3:

87,725,071 ÷ 3 = 29,241,690.3333

If the quotient is a whole number, then 3 and 29,241,690.3333 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 87,725,071
-1 -87,725,071

Let's try dividing by 4:

87,725,071 ÷ 4 = 21,931,267.75

If the quotient is a whole number, then 4 and 21,931,267.75 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 87,725,071
-1 87,725,071
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175894,12321,277148,939404,263659,5872,829,8414,617,10912,532,15387,725,071
-1-7-19-31-133-217-589-4,123-21,277-148,939-404,263-659,587-2,829,841-4,617,109-12,532,153-87,725,071

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