Q: What are the factor combinations of the number 760,231,549?

 A:
Positive:   1 x 7602315497 x 10860450711 x 6911195929 x 2621488177 x 9873137203 x 3744983319 x 23831712233 x 340453
Negative: -1 x -760231549-7 x -108604507-11 x -69111959-29 x -26214881-77 x -9873137-203 x -3744983-319 x -2383171-2233 x -340453


How do I find the factor combinations of the number 760,231,549?

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 760,231,549, 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.

1 760,231,549
-1 -760,231,549

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 760,231,549.

Example:
1 x 760,231,549 = 760,231,549
and
-1 x -760,231,549 = 760,231,549
Notice both answers equal 760,231,549

With that explanation out of the way, let's continue. Next, we take the number 760,231,549 and divide it by 2:

760,231,549 ÷ 2 = 380,115,774.5

If the quotient is a whole number, then 2 and 380,115,774.5 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:

1 760,231,549
-1 -760,231,549

Now, we try dividing 760,231,549 by 3:

760,231,549 ÷ 3 = 253,410,516.3333

If the quotient is a whole number, then 3 and 253,410,516.3333 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:

1 760,231,549
-1 -760,231,549

Let's try dividing by 4:

760,231,549 ÷ 4 = 190,057,887.25

If the quotient is a whole number, then 4 and 190,057,887.25 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:

1 760,231,549
-1 760,231,549
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,233340,4532,383,1713,744,9839,873,13726,214,88169,111,959108,604,507760,231,549
-1-7-11-29-77-203-319-2,233-340,453-2,383,171-3,744,983-9,873,137-26,214,881-69,111,959-108,604,507-760,231,549

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