Q: What are the factor combinations of the number 78,446,731?

 A:
Positive:   1 x 7844673111 x 713152153 x 1480127239 x 328229563 x 139337583 x 1345572629 x 298396193 x 12667
Negative: -1 x -78446731-11 x -7131521-53 x -1480127-239 x -328229-563 x -139337-583 x -134557-2629 x -29839-6193 x -12667


How do I find the factor combinations of the number 78,446,731?

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 78,446,731, 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 78,446,731
-1 -78,446,731

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 78,446,731.

Example:
1 x 78,446,731 = 78,446,731
and
-1 x -78,446,731 = 78,446,731
Notice both answers equal 78,446,731

With that explanation out of the way, let's continue. Next, we take the number 78,446,731 and divide it by 2:

78,446,731 ÷ 2 = 39,223,365.5

If the quotient is a whole number, then 2 and 39,223,365.5 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 78,446,731
-1 -78,446,731

Now, we try dividing 78,446,731 by 3:

78,446,731 ÷ 3 = 26,148,910.3333

If the quotient is a whole number, then 3 and 26,148,910.3333 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 78,446,731
-1 -78,446,731

Let's try dividing by 4:

78,446,731 ÷ 4 = 19,611,682.75

If the quotient is a whole number, then 4 and 19,611,682.75 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 78,446,731
-1 78,446,731
Keep dividing by the next highest number until you cannot divide anymore.

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

111532395635832,6296,19312,66729,839134,557139,337328,2291,480,1277,131,52178,446,731
-1-11-53-239-563-583-2,629-6,193-12,667-29,839-134,557-139,337-328,229-1,480,127-7,131,521-78,446,731

More Examples

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