Q: What are the factor combinations of the number 743,247,385?

 A:
Positive:   1 x 7432473855 x 14864947741 x 18127985101 x 7358885205 x 3625597505 x 14717774141 x 17948520705 x 35897
Negative: -1 x -743247385-5 x -148649477-41 x -18127985-101 x -7358885-205 x -3625597-505 x -1471777-4141 x -179485-20705 x -35897


How do I find the factor combinations of the number 743,247,385?

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 743,247,385, 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.

1 743,247,385
-1 -743,247,385

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 743,247,385.

Example:
1 x 743,247,385 = 743,247,385
and
-1 x -743,247,385 = 743,247,385
Notice both answers equal 743,247,385

With that explanation out of the way, let's continue. Next, we take the number 743,247,385 and divide it by 2:

743,247,385 ÷ 2 = 371,623,692.5

If the quotient is a whole number, then 2 and 371,623,692.5 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:

1 743,247,385
-1 -743,247,385

Now, we try dividing 743,247,385 by 3:

743,247,385 ÷ 3 = 247,749,128.3333

If the quotient is a whole number, then 3 and 247,749,128.3333 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:

1 743,247,385
-1 -743,247,385

Let's try dividing by 4:

743,247,385 ÷ 4 = 185,811,846.25

If the quotient is a whole number, then 4 and 185,811,846.25 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:

1 743,247,385
-1 743,247,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15411012055054,14120,70535,897179,4851,471,7773,625,5977,358,88518,127,985148,649,477743,247,385
-1-5-41-101-205-505-4,141-20,705-35,897-179,485-1,471,777-3,625,597-7,358,885-18,127,985-148,649,477-743,247,385

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