Q: What are the factor combinations of the number 116,056,325?

 A:
Positive:   1 x 1160563255 x 232112657 x 1657947511 x 1055057525 x 464225335 x 331589555 x 211011577 x 1507225175 x 663179275 x 422023385 x 3014451925 x 60289
Negative: -1 x -116056325-5 x -23211265-7 x -16579475-11 x -10550575-25 x -4642253-35 x -3315895-55 x -2110115-77 x -1507225-175 x -663179-275 x -422023-385 x -301445-1925 x -60289


How do I find the factor combinations of the number 116,056,325?

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 116,056,325, 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.

1 116,056,325
-1 -116,056,325

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 116,056,325.

Example:
1 x 116,056,325 = 116,056,325
and
-1 x -116,056,325 = 116,056,325
Notice both answers equal 116,056,325

With that explanation out of the way, let's continue. Next, we take the number 116,056,325 and divide it by 2:

116,056,325 ÷ 2 = 58,028,162.5

If the quotient is a whole number, then 2 and 58,028,162.5 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:

1 116,056,325
-1 -116,056,325

Now, we try dividing 116,056,325 by 3:

116,056,325 ÷ 3 = 38,685,441.6667

If the quotient is a whole number, then 3 and 38,685,441.6667 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:

1 116,056,325
-1 -116,056,325

Let's try dividing by 4:

116,056,325 ÷ 4 = 29,014,081.25

If the quotient is a whole number, then 4 and 29,014,081.25 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:

1 116,056,325
-1 116,056,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,92560,289301,445422,023663,1791,507,2252,110,1153,315,8954,642,25310,550,57516,579,47523,211,265116,056,325
-1-5-7-11-25-35-55-77-175-275-385-1,925-60,289-301,445-422,023-663,179-1,507,225-2,110,115-3,315,895-4,642,253-10,550,575-16,579,475-23,211,265-116,056,325

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