Q: What are the factor combinations of the number 705,116,765?

 A:
Positive:   1 x 7051167655 x 14102335397 x 7269245257 x 2743645485 x 14538491285 x 5487295657 x 12464524929 x 28285
Negative: -1 x -705116765-5 x -141023353-97 x -7269245-257 x -2743645-485 x -1453849-1285 x -548729-5657 x -124645-24929 x -28285


How do I find the factor combinations of the number 705,116,765?

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 705,116,765, 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.

1 705,116,765
-1 -705,116,765

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 705,116,765.

Example:
1 x 705,116,765 = 705,116,765
and
-1 x -705,116,765 = 705,116,765
Notice both answers equal 705,116,765

With that explanation out of the way, let's continue. Next, we take the number 705,116,765 and divide it by 2:

705,116,765 ÷ 2 = 352,558,382.5

If the quotient is a whole number, then 2 and 352,558,382.5 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:

1 705,116,765
-1 -705,116,765

Now, we try dividing 705,116,765 by 3:

705,116,765 ÷ 3 = 235,038,921.6667

If the quotient is a whole number, then 3 and 235,038,921.6667 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:

1 705,116,765
-1 -705,116,765

Let's try dividing by 4:

705,116,765 ÷ 4 = 176,279,191.25

If the quotient is a whole number, then 4 and 176,279,191.25 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:

1 705,116,765
-1 705,116,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15972574851,2855,65724,92928,285124,645548,7291,453,8492,743,6457,269,245141,023,353705,116,765
-1-5-97-257-485-1,285-5,657-24,929-28,285-124,645-548,729-1,453,849-2,743,645-7,269,245-141,023,353-705,116,765

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