Q: What are the factor combinations of the number 167,206,325?

 A:
Positive:   1 x 1672063255 x 3344126511 x 1520057513 x 1286202525 x 668825355 x 304011565 x 2572405143 x 1169275275 x 608023325 x 514481715 x 2338553575 x 46771
Negative: -1 x -167206325-5 x -33441265-11 x -15200575-13 x -12862025-25 x -6688253-55 x -3040115-65 x -2572405-143 x -1169275-275 x -608023-325 x -514481-715 x -233855-3575 x -46771


How do I find the factor combinations of the number 167,206,325?

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 167,206,325, 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.

1 167,206,325
-1 -167,206,325

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 167,206,325.

Example:
1 x 167,206,325 = 167,206,325
and
-1 x -167,206,325 = 167,206,325
Notice both answers equal 167,206,325

With that explanation out of the way, let's continue. Next, we take the number 167,206,325 and divide it by 2:

167,206,325 ÷ 2 = 83,603,162.5

If the quotient is a whole number, then 2 and 83,603,162.5 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:

1 167,206,325
-1 -167,206,325

Now, we try dividing 167,206,325 by 3:

167,206,325 ÷ 3 = 55,735,441.6667

If the quotient is a whole number, then 3 and 55,735,441.6667 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:

1 167,206,325
-1 -167,206,325

Let's try dividing by 4:

167,206,325 ÷ 4 = 41,801,581.25

If the quotient is a whole number, then 4 and 41,801,581.25 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:

1 167,206,325
-1 167,206,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57546,771233,855514,481608,0231,169,2752,572,4053,040,1156,688,25312,862,02515,200,57533,441,265167,206,325
-1-5-11-13-25-55-65-143-275-325-715-3,575-46,771-233,855-514,481-608,023-1,169,275-2,572,405-3,040,115-6,688,253-12,862,025-15,200,575-33,441,265-167,206,325

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