Q: What are the factor combinations of the number 731,433,787?

 A:
Positive:   1 x 7314337877 x 10449054123 x 3180146947 x 15562421161 x 4543067329 x 22232031081 x 6766277567 x 96661
Negative: -1 x -731433787-7 x -104490541-23 x -31801469-47 x -15562421-161 x -4543067-329 x -2223203-1081 x -676627-7567 x -96661


How do I find the factor combinations of the number 731,433,787?

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 731,433,787, 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.

1 731,433,787
-1 -731,433,787

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 731,433,787.

Example:
1 x 731,433,787 = 731,433,787
and
-1 x -731,433,787 = 731,433,787
Notice both answers equal 731,433,787

With that explanation out of the way, let's continue. Next, we take the number 731,433,787 and divide it by 2:

731,433,787 ÷ 2 = 365,716,893.5

If the quotient is a whole number, then 2 and 365,716,893.5 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:

1 731,433,787
-1 -731,433,787

Now, we try dividing 731,433,787 by 3:

731,433,787 ÷ 3 = 243,811,262.3333

If the quotient is a whole number, then 3 and 243,811,262.3333 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:

1 731,433,787
-1 -731,433,787

Let's try dividing by 4:

731,433,787 ÷ 4 = 182,858,446.75

If the quotient is a whole number, then 4 and 182,858,446.75 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:

1 731,433,787
-1 731,433,787
Keep dividing by the next highest number until you cannot divide anymore.

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

1723471613291,0817,56796,661676,6272,223,2034,543,06715,562,42131,801,469104,490,541731,433,787
-1-7-23-47-161-329-1,081-7,567-96,661-676,627-2,223,203-4,543,067-15,562,421-31,801,469-104,490,541-731,433,787

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