Q: What are the factor combinations of the number 78,716,435?

 A:
Positive:   1 x 787164355 x 157432877 x 1124520535 x 2249041449 x 1753152245 x 350633143 x 250455009 x 15715
Negative: -1 x -78716435-5 x -15743287-7 x -11245205-35 x -2249041-449 x -175315-2245 x -35063-3143 x -25045-5009 x -15715


How do I find the factor combinations of the number 78,716,435?

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 78,716,435, 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 78,716,435
-1 -78,716,435

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 78,716,435.

Example:
1 x 78,716,435 = 78,716,435
and
-1 x -78,716,435 = 78,716,435
Notice both answers equal 78,716,435

With that explanation out of the way, let's continue. Next, we take the number 78,716,435 and divide it by 2:

78,716,435 ÷ 2 = 39,358,217.5

If the quotient is a whole number, then 2 and 39,358,217.5 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 78,716,435
-1 -78,716,435

Now, we try dividing 78,716,435 by 3:

78,716,435 ÷ 3 = 26,238,811.6667

If the quotient is a whole number, then 3 and 26,238,811.6667 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 78,716,435
-1 -78,716,435

Let's try dividing by 4:

78,716,435 ÷ 4 = 19,679,108.75

If the quotient is a whole number, then 4 and 19,679,108.75 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 78,716,435
-1 78,716,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157354492,2453,1435,00915,71525,04535,063175,3152,249,04111,245,20515,743,28778,716,435
-1-5-7-35-449-2,245-3,143-5,009-15,715-25,045-35,063-175,315-2,249,041-11,245,205-15,743,287-78,716,435

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