Q: What are the factor combinations of the number 762,370,765?

 A:
Positive:   1 x 7623707655 x 15247415313 x 5864390523 x 3314655565 x 11728781115 x 6629311299 x 25497351495 x 509947
Negative: -1 x -762370765-5 x -152474153-13 x -58643905-23 x -33146555-65 x -11728781-115 x -6629311-299 x -2549735-1495 x -509947


How do I find the factor combinations of the number 762,370,765?

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 762,370,765, 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.

1 762,370,765
-1 -762,370,765

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 762,370,765.

Example:
1 x 762,370,765 = 762,370,765
and
-1 x -762,370,765 = 762,370,765
Notice both answers equal 762,370,765

With that explanation out of the way, let's continue. Next, we take the number 762,370,765 and divide it by 2:

762,370,765 ÷ 2 = 381,185,382.5

If the quotient is a whole number, then 2 and 381,185,382.5 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:

1 762,370,765
-1 -762,370,765

Now, we try dividing 762,370,765 by 3:

762,370,765 ÷ 3 = 254,123,588.3333

If the quotient is a whole number, then 3 and 254,123,588.3333 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:

1 762,370,765
-1 -762,370,765

Let's try dividing by 4:

762,370,765 ÷ 4 = 190,592,691.25

If the quotient is a whole number, then 4 and 190,592,691.25 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:

1 762,370,765
-1 762,370,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,495509,9472,549,7356,629,31111,728,78133,146,55558,643,905152,474,153762,370,765
-1-5-13-23-65-115-299-1,495-509,947-2,549,735-6,629,311-11,728,781-33,146,555-58,643,905-152,474,153-762,370,765

More Examples

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