Q: What are the factor combinations of the number 78,446,725?

 A:
Positive:   1 x 784467255 x 156893457 x 1120667519 x 412877525 x 313786935 x 224133595 x 825755133 x 589825175 x 448267475 x 165151665 x 1179653325 x 23593
Negative: -1 x -78446725-5 x -15689345-7 x -11206675-19 x -4128775-25 x -3137869-35 x -2241335-95 x -825755-133 x -589825-175 x -448267-475 x -165151-665 x -117965-3325 x -23593


How do I find the factor combinations of the number 78,446,725?

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 78,446,725, 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 78,446,725
-1 -78,446,725

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 78,446,725.

Example:
1 x 78,446,725 = 78,446,725
and
-1 x -78,446,725 = 78,446,725
Notice both answers equal 78,446,725

With that explanation out of the way, let's continue. Next, we take the number 78,446,725 and divide it by 2:

78,446,725 ÷ 2 = 39,223,362.5

If the quotient is a whole number, then 2 and 39,223,362.5 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 78,446,725
-1 -78,446,725

Now, we try dividing 78,446,725 by 3:

78,446,725 ÷ 3 = 26,148,908.3333

If the quotient is a whole number, then 3 and 26,148,908.3333 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 78,446,725
-1 -78,446,725

Let's try dividing by 4:

78,446,725 ÷ 4 = 19,611,681.25

If the quotient is a whole number, then 4 and 19,611,681.25 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 78,446,725
-1 78,446,725
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,32523,593117,965165,151448,267589,825825,7552,241,3353,137,8694,128,77511,206,67515,689,34578,446,725
-1-5-7-19-25-35-95-133-175-475-665-3,325-23,593-117,965-165,151-448,267-589,825-825,755-2,241,335-3,137,869-4,128,775-11,206,675-15,689,345-78,446,725

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