Q: What are the factor combinations of the number 85,642,249?

 A:
Positive:   1 x 856422497 x 1223460711 x 778565929 x 295318149 x 174780177 x 1112237203 x 421883319 x 268471539 x 1588911421 x 602692233 x 383535479 x 15631
Negative: -1 x -85642249-7 x -12234607-11 x -7785659-29 x -2953181-49 x -1747801-77 x -1112237-203 x -421883-319 x -268471-539 x -158891-1421 x -60269-2233 x -38353-5479 x -15631


How do I find the factor combinations of the number 85,642,249?

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 85,642,249, 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 85,642,249
-1 -85,642,249

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 85,642,249.

Example:
1 x 85,642,249 = 85,642,249
and
-1 x -85,642,249 = 85,642,249
Notice both answers equal 85,642,249

With that explanation out of the way, let's continue. Next, we take the number 85,642,249 and divide it by 2:

85,642,249 ÷ 2 = 42,821,124.5

If the quotient is a whole number, then 2 and 42,821,124.5 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 85,642,249
-1 -85,642,249

Now, we try dividing 85,642,249 by 3:

85,642,249 ÷ 3 = 28,547,416.3333

If the quotient is a whole number, then 3 and 28,547,416.3333 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 85,642,249
-1 -85,642,249

Let's try dividing by 4:

85,642,249 ÷ 4 = 21,410,562.25

If the quotient is a whole number, then 4 and 21,410,562.25 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 85,642,249
-1 85,642,249
Keep dividing by the next highest number until you cannot divide anymore.

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

17112949772033195391,4212,2335,47915,63138,35360,269158,891268,471421,8831,112,2371,747,8012,953,1817,785,65912,234,60785,642,249
-1-7-11-29-49-77-203-319-539-1,421-2,233-5,479-15,631-38,353-60,269-158,891-268,471-421,883-1,112,237-1,747,801-2,953,181-7,785,659-12,234,607-85,642,249

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