Q: What are the factor combinations of the number 116,429,525?

 A:
Positive:   1 x 1164295255 x 2328590525 x 465718173 x 1594925131 x 888775365 x 318985487 x 239075655 x 1777551825 x 637972435 x 478153275 x 355519563 x 12175
Negative: -1 x -116429525-5 x -23285905-25 x -4657181-73 x -1594925-131 x -888775-365 x -318985-487 x -239075-655 x -177755-1825 x -63797-2435 x -47815-3275 x -35551-9563 x -12175


How do I find the factor combinations of the number 116,429,525?

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 116,429,525, 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.

1 116,429,525
-1 -116,429,525

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 116,429,525.

Example:
1 x 116,429,525 = 116,429,525
and
-1 x -116,429,525 = 116,429,525
Notice both answers equal 116,429,525

With that explanation out of the way, let's continue. Next, we take the number 116,429,525 and divide it by 2:

116,429,525 ÷ 2 = 58,214,762.5

If the quotient is a whole number, then 2 and 58,214,762.5 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:

1 116,429,525
-1 -116,429,525

Now, we try dividing 116,429,525 by 3:

116,429,525 ÷ 3 = 38,809,841.6667

If the quotient is a whole number, then 3 and 38,809,841.6667 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:

1 116,429,525
-1 -116,429,525

Let's try dividing by 4:

116,429,525 ÷ 4 = 29,107,381.25

If the quotient is a whole number, then 4 and 29,107,381.25 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:

1 116,429,525
-1 116,429,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1525731313654876551,8252,4353,2759,56312,17535,55147,81563,797177,755239,075318,985888,7751,594,9254,657,18123,285,905116,429,525
-1-5-25-73-131-365-487-655-1,825-2,435-3,275-9,563-12,175-35,551-47,815-63,797-177,755-239,075-318,985-888,775-1,594,925-4,657,181-23,285,905-116,429,525

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