Q: What are the factor combinations of the number 170,012,339?

 A:
Positive:   1 x 1700123397 x 2428747731 x 548426989 x 1910251217 x 783467623 x 2728932759 x 616218803 x 19313
Negative: -1 x -170012339-7 x -24287477-31 x -5484269-89 x -1910251-217 x -783467-623 x -272893-2759 x -61621-8803 x -19313


How do I find the factor combinations of the number 170,012,339?

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 170,012,339, 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.

1 170,012,339
-1 -170,012,339

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 170,012,339.

Example:
1 x 170,012,339 = 170,012,339
and
-1 x -170,012,339 = 170,012,339
Notice both answers equal 170,012,339

With that explanation out of the way, let's continue. Next, we take the number 170,012,339 and divide it by 2:

170,012,339 ÷ 2 = 85,006,169.5

If the quotient is a whole number, then 2 and 85,006,169.5 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:

1 170,012,339
-1 -170,012,339

Now, we try dividing 170,012,339 by 3:

170,012,339 ÷ 3 = 56,670,779.6667

If the quotient is a whole number, then 3 and 56,670,779.6667 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:

1 170,012,339
-1 -170,012,339

Let's try dividing by 4:

170,012,339 ÷ 4 = 42,503,084.75

If the quotient is a whole number, then 4 and 42,503,084.75 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:

1 170,012,339
-1 170,012,339
Keep dividing by the next highest number until you cannot divide anymore.

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

1731892176232,7598,80319,31361,621272,893783,4671,910,2515,484,26924,287,477170,012,339
-1-7-31-89-217-623-2,759-8,803-19,313-61,621-272,893-783,467-1,910,251-5,484,269-24,287,477-170,012,339

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