Q: What are the factor combinations of the number 167,027,215?

 A:
Positive:   1 x 1670272155 x 33405443233 x 716855311 x 537065461 x 3623151165 x 1433711555 x 1074132305 x 72463
Negative: -1 x -167027215-5 x -33405443-233 x -716855-311 x -537065-461 x -362315-1165 x -143371-1555 x -107413-2305 x -72463


How do I find the factor combinations of the number 167,027,215?

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 167,027,215, 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.

1 167,027,215
-1 -167,027,215

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 167,027,215.

Example:
1 x 167,027,215 = 167,027,215
and
-1 x -167,027,215 = 167,027,215
Notice both answers equal 167,027,215

With that explanation out of the way, let's continue. Next, we take the number 167,027,215 and divide it by 2:

167,027,215 ÷ 2 = 83,513,607.5

If the quotient is a whole number, then 2 and 83,513,607.5 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:

1 167,027,215
-1 -167,027,215

Now, we try dividing 167,027,215 by 3:

167,027,215 ÷ 3 = 55,675,738.3333

If the quotient is a whole number, then 3 and 55,675,738.3333 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:

1 167,027,215
-1 -167,027,215

Let's try dividing by 4:

167,027,215 ÷ 4 = 41,756,803.75

If the quotient is a whole number, then 4 and 41,756,803.75 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:

1 167,027,215
-1 167,027,215
Keep dividing by the next highest number until you cannot divide anymore.

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

152333114611,1651,5552,30572,463107,413143,371362,315537,065716,85533,405,443167,027,215
-1-5-233-311-461-1,165-1,555-2,305-72,463-107,413-143,371-362,315-537,065-716,855-33,405,443-167,027,215

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