Q: What are the factor combinations of the number 771,371,705?

 A:
Positive:   1 x 7713717055 x 15427434113 x 5933628565 x 1186725783 x 9293635415 x 18587271079 x 7148955395 x 142979
Negative: -1 x -771371705-5 x -154274341-13 x -59336285-65 x -11867257-83 x -9293635-415 x -1858727-1079 x -714895-5395 x -142979


How do I find the factor combinations of the number 771,371,705?

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 771,371,705, 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.

1 771,371,705
-1 -771,371,705

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 771,371,705.

Example:
1 x 771,371,705 = 771,371,705
and
-1 x -771,371,705 = 771,371,705
Notice both answers equal 771,371,705

With that explanation out of the way, let's continue. Next, we take the number 771,371,705 and divide it by 2:

771,371,705 ÷ 2 = 385,685,852.5

If the quotient is a whole number, then 2 and 385,685,852.5 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:

1 771,371,705
-1 -771,371,705

Now, we try dividing 771,371,705 by 3:

771,371,705 ÷ 3 = 257,123,901.6667

If the quotient is a whole number, then 3 and 257,123,901.6667 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:

1 771,371,705
-1 -771,371,705

Let's try dividing by 4:

771,371,705 ÷ 4 = 192,842,926.25

If the quotient is a whole number, then 4 and 192,842,926.25 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:

1 771,371,705
-1 771,371,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151365834151,0795,395142,979714,8951,858,7279,293,63511,867,25759,336,285154,274,341771,371,705
-1-5-13-65-83-415-1,079-5,395-142,979-714,895-1,858,727-9,293,635-11,867,257-59,336,285-154,274,341-771,371,705

More Examples

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