Q: What are the factor combinations of the number 747,440,683?

 A:
Positive:   1 x 74744068311 x 6794915317 x 4396709923 x 32497421187 x 3997009253 x 2954311391 x 19116134301 x 173783
Negative: -1 x -747440683-11 x -67949153-17 x -43967099-23 x -32497421-187 x -3997009-253 x -2954311-391 x -1911613-4301 x -173783


How do I find the factor combinations of the number 747,440,683?

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 747,440,683, 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.

1 747,440,683
-1 -747,440,683

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 747,440,683.

Example:
1 x 747,440,683 = 747,440,683
and
-1 x -747,440,683 = 747,440,683
Notice both answers equal 747,440,683

With that explanation out of the way, let's continue. Next, we take the number 747,440,683 and divide it by 2:

747,440,683 ÷ 2 = 373,720,341.5

If the quotient is a whole number, then 2 and 373,720,341.5 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:

1 747,440,683
-1 -747,440,683

Now, we try dividing 747,440,683 by 3:

747,440,683 ÷ 3 = 249,146,894.3333

If the quotient is a whole number, then 3 and 249,146,894.3333 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:

1 747,440,683
-1 -747,440,683

Let's try dividing by 4:

747,440,683 ÷ 4 = 186,860,170.75

If the quotient is a whole number, then 4 and 186,860,170.75 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:

1 747,440,683
-1 747,440,683
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533914,301173,7831,911,6132,954,3113,997,00932,497,42143,967,09967,949,153747,440,683
-1-11-17-23-187-253-391-4,301-173,783-1,911,613-2,954,311-3,997,009-32,497,421-43,967,099-67,949,153-747,440,683

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