Q: What are the factor combinations of the number 85,052,429?

 A:
Positive:   1 x 850524297 x 1215034711 x 773203977 x 1104577313 x 2717332191 x 388193443 x 247033529 x 24101
Negative: -1 x -85052429-7 x -12150347-11 x -7732039-77 x -1104577-313 x -271733-2191 x -38819-3443 x -24703-3529 x -24101


How do I find the factor combinations of the number 85,052,429?

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 85,052,429, 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 85,052,429
-1 -85,052,429

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 85,052,429.

Example:
1 x 85,052,429 = 85,052,429
and
-1 x -85,052,429 = 85,052,429
Notice both answers equal 85,052,429

With that explanation out of the way, let's continue. Next, we take the number 85,052,429 and divide it by 2:

85,052,429 ÷ 2 = 42,526,214.5

If the quotient is a whole number, then 2 and 42,526,214.5 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 85,052,429
-1 -85,052,429

Now, we try dividing 85,052,429 by 3:

85,052,429 ÷ 3 = 28,350,809.6667

If the quotient is a whole number, then 3 and 28,350,809.6667 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 85,052,429
-1 -85,052,429

Let's try dividing by 4:

85,052,429 ÷ 4 = 21,263,107.25

If the quotient is a whole number, then 4 and 21,263,107.25 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 85,052,429
-1 85,052,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773132,1913,4433,52924,10124,70338,819271,7331,104,5777,732,03912,150,34785,052,429
-1-7-11-77-313-2,191-3,443-3,529-24,101-24,703-38,819-271,733-1,104,577-7,732,039-12,150,347-85,052,429

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