Q: What are the factor combinations of the number 287,240,723?

 A:
Positive:   1 x 2872407237 x 4103438911 x 2611279377 x 3730399173 x 16603511211 x 2371931903 x 15094113321 x 21563
Negative: -1 x -287240723-7 x -41034389-11 x -26112793-77 x -3730399-173 x -1660351-1211 x -237193-1903 x -150941-13321 x -21563


How do I find the factor combinations of the number 287,240,723?

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 287,240,723, 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.

1 287,240,723
-1 -287,240,723

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 287,240,723.

Example:
1 x 287,240,723 = 287,240,723
and
-1 x -287,240,723 = 287,240,723
Notice both answers equal 287,240,723

With that explanation out of the way, let's continue. Next, we take the number 287,240,723 and divide it by 2:

287,240,723 ÷ 2 = 143,620,361.5

If the quotient is a whole number, then 2 and 143,620,361.5 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:

1 287,240,723
-1 -287,240,723

Now, we try dividing 287,240,723 by 3:

287,240,723 ÷ 3 = 95,746,907.6667

If the quotient is a whole number, then 3 and 95,746,907.6667 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:

1 287,240,723
-1 -287,240,723

Let's try dividing by 4:

287,240,723 ÷ 4 = 71,810,180.75

If the quotient is a whole number, then 4 and 71,810,180.75 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:

1 287,240,723
-1 287,240,723
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771731,2111,90313,32121,563150,941237,1931,660,3513,730,39926,112,79341,034,389287,240,723
-1-7-11-77-173-1,211-1,903-13,321-21,563-150,941-237,193-1,660,351-3,730,399-26,112,793-41,034,389-287,240,723

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