Q: What are the factor combinations of the number 77,602,723?

 A:
Positive:   1 x 7760272311 x 705479373 x 1063051241 x 322003401 x 193523803 x 966412651 x 292734411 x 17593
Negative: -1 x -77602723-11 x -7054793-73 x -1063051-241 x -322003-401 x -193523-803 x -96641-2651 x -29273-4411 x -17593


How do I find the factor combinations of the number 77,602,723?

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 77,602,723, 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 77,602,723
-1 -77,602,723

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 77,602,723.

Example:
1 x 77,602,723 = 77,602,723
and
-1 x -77,602,723 = 77,602,723
Notice both answers equal 77,602,723

With that explanation out of the way, let's continue. Next, we take the number 77,602,723 and divide it by 2:

77,602,723 ÷ 2 = 38,801,361.5

If the quotient is a whole number, then 2 and 38,801,361.5 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 77,602,723
-1 -77,602,723

Now, we try dividing 77,602,723 by 3:

77,602,723 ÷ 3 = 25,867,574.3333

If the quotient is a whole number, then 3 and 25,867,574.3333 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 77,602,723
-1 -77,602,723

Let's try dividing by 4:

77,602,723 ÷ 4 = 19,400,680.75

If the quotient is a whole number, then 4 and 19,400,680.75 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 77,602,723
-1 77,602,723
Keep dividing by the next highest number until you cannot divide anymore.

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

111732414018032,6514,41117,59329,27396,641193,523322,0031,063,0517,054,79377,602,723
-1-11-73-241-401-803-2,651-4,411-17,593-29,273-96,641-193,523-322,003-1,063,051-7,054,793-77,602,723

More Examples

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