Q: What are the factor combinations of the number 340,136,167?

 A:
Positive:   1 x 3401361677 x 4859088123 x 14788529161 x 2112647619 x 5494933413 x 996594333 x 7849914237 x 23891
Negative: -1 x -340136167-7 x -48590881-23 x -14788529-161 x -2112647-619 x -549493-3413 x -99659-4333 x -78499-14237 x -23891


How do I find the factor combinations of the number 340,136,167?

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 340,136,167, 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.

1 340,136,167
-1 -340,136,167

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 340,136,167.

Example:
1 x 340,136,167 = 340,136,167
and
-1 x -340,136,167 = 340,136,167
Notice both answers equal 340,136,167

With that explanation out of the way, let's continue. Next, we take the number 340,136,167 and divide it by 2:

340,136,167 ÷ 2 = 170,068,083.5

If the quotient is a whole number, then 2 and 170,068,083.5 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:

1 340,136,167
-1 -340,136,167

Now, we try dividing 340,136,167 by 3:

340,136,167 ÷ 3 = 113,378,722.3333

If the quotient is a whole number, then 3 and 113,378,722.3333 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:

1 340,136,167
-1 -340,136,167

Let's try dividing by 4:

340,136,167 ÷ 4 = 85,034,041.75

If the quotient is a whole number, then 4 and 85,034,041.75 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:

1 340,136,167
-1 340,136,167
Keep dividing by the next highest number until you cannot divide anymore.

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

17231616193,4134,33314,23723,89178,49999,659549,4932,112,64714,788,52948,590,881340,136,167
-1-7-23-161-619-3,413-4,333-14,237-23,891-78,499-99,659-549,493-2,112,647-14,788,529-48,590,881-340,136,167

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