Q: What are the factor combinations of the number 160,234,705?

 A:
Positive:   1 x 1602347055 x 32046941163 x 983035421 x 380605467 x 343115815 x 1966072105 x 761212335 x 68623
Negative: -1 x -160234705-5 x -32046941-163 x -983035-421 x -380605-467 x -343115-815 x -196607-2105 x -76121-2335 x -68623


How do I find the factor combinations of the number 160,234,705?

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 160,234,705, 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.

1 160,234,705
-1 -160,234,705

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 160,234,705.

Example:
1 x 160,234,705 = 160,234,705
and
-1 x -160,234,705 = 160,234,705
Notice both answers equal 160,234,705

With that explanation out of the way, let's continue. Next, we take the number 160,234,705 and divide it by 2:

160,234,705 ÷ 2 = 80,117,352.5

If the quotient is a whole number, then 2 and 80,117,352.5 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:

1 160,234,705
-1 -160,234,705

Now, we try dividing 160,234,705 by 3:

160,234,705 ÷ 3 = 53,411,568.3333

If the quotient is a whole number, then 3 and 53,411,568.3333 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:

1 160,234,705
-1 -160,234,705

Let's try dividing by 4:

160,234,705 ÷ 4 = 40,058,676.25

If the quotient is a whole number, then 4 and 40,058,676.25 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:

1 160,234,705
-1 160,234,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151634214678152,1052,33568,62376,121196,607343,115380,605983,03532,046,941160,234,705
-1-5-163-421-467-815-2,105-2,335-68,623-76,121-196,607-343,115-380,605-983,035-32,046,941-160,234,705

More Examples

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