Q: What are the factor combinations of the number 743,447,509?

 A:
Positive:   1 x 7434475097 x 10620678729 x 25636121203 x 3662303283 x 26270231981 x 3752898207 x 9058712941 x 57449
Negative: -1 x -743447509-7 x -106206787-29 x -25636121-203 x -3662303-283 x -2627023-1981 x -375289-8207 x -90587-12941 x -57449


How do I find the factor combinations of the number 743,447,509?

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 743,447,509, 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.

1 743,447,509
-1 -743,447,509

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 743,447,509.

Example:
1 x 743,447,509 = 743,447,509
and
-1 x -743,447,509 = 743,447,509
Notice both answers equal 743,447,509

With that explanation out of the way, let's continue. Next, we take the number 743,447,509 and divide it by 2:

743,447,509 ÷ 2 = 371,723,754.5

If the quotient is a whole number, then 2 and 371,723,754.5 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:

1 743,447,509
-1 -743,447,509

Now, we try dividing 743,447,509 by 3:

743,447,509 ÷ 3 = 247,815,836.3333

If the quotient is a whole number, then 3 and 247,815,836.3333 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:

1 743,447,509
-1 -743,447,509

Let's try dividing by 4:

743,447,509 ÷ 4 = 185,861,877.25

If the quotient is a whole number, then 4 and 185,861,877.25 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:

1 743,447,509
-1 743,447,509
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032831,9818,20712,94157,44990,587375,2892,627,0233,662,30325,636,121106,206,787743,447,509
-1-7-29-203-283-1,981-8,207-12,941-57,449-90,587-375,289-2,627,023-3,662,303-25,636,121-106,206,787-743,447,509

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