Q: What are the factor combinations of the number 167,369,251?

 A:
Positive:   1 x 1673692517 x 2390989349 x 341569983 x 2016497343 x 487957581 x 2880714067 x 411535879 x 28469
Negative: -1 x -167369251-7 x -23909893-49 x -3415699-83 x -2016497-343 x -487957-581 x -288071-4067 x -41153-5879 x -28469


How do I find the factor combinations of the number 167,369,251?

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 167,369,251, 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.

1 167,369,251
-1 -167,369,251

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 167,369,251.

Example:
1 x 167,369,251 = 167,369,251
and
-1 x -167,369,251 = 167,369,251
Notice both answers equal 167,369,251

With that explanation out of the way, let's continue. Next, we take the number 167,369,251 and divide it by 2:

167,369,251 ÷ 2 = 83,684,625.5

If the quotient is a whole number, then 2 and 83,684,625.5 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:

1 167,369,251
-1 -167,369,251

Now, we try dividing 167,369,251 by 3:

167,369,251 ÷ 3 = 55,789,750.3333

If the quotient is a whole number, then 3 and 55,789,750.3333 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:

1 167,369,251
-1 -167,369,251

Let's try dividing by 4:

167,369,251 ÷ 4 = 41,842,312.75

If the quotient is a whole number, then 4 and 41,842,312.75 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:

1 167,369,251
-1 167,369,251
Keep dividing by the next highest number until you cannot divide anymore.

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

1749833435814,0675,87928,46941,153288,071487,9572,016,4973,415,69923,909,893167,369,251
-1-7-49-83-343-581-4,067-5,879-28,469-41,153-288,071-487,957-2,016,497-3,415,699-23,909,893-167,369,251

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