Q: What are the factor combinations of the number 76,006,625?

 A:
Positive:   1 x 760066255 x 1520132525 x 3040265113 x 672625125 x 608053565 x 1345252825 x 269055381 x 14125
Negative: -1 x -76006625-5 x -15201325-25 x -3040265-113 x -672625-125 x -608053-565 x -134525-2825 x -26905-5381 x -14125


How do I find the factor combinations of the number 76,006,625?

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 76,006,625, 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 76,006,625
-1 -76,006,625

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 76,006,625.

Example:
1 x 76,006,625 = 76,006,625
and
-1 x -76,006,625 = 76,006,625
Notice both answers equal 76,006,625

With that explanation out of the way, let's continue. Next, we take the number 76,006,625 and divide it by 2:

76,006,625 ÷ 2 = 38,003,312.5

If the quotient is a whole number, then 2 and 38,003,312.5 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 76,006,625
-1 -76,006,625

Now, we try dividing 76,006,625 by 3:

76,006,625 ÷ 3 = 25,335,541.6667

If the quotient is a whole number, then 3 and 25,335,541.6667 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 76,006,625
-1 -76,006,625

Let's try dividing by 4:

76,006,625 ÷ 4 = 19,001,656.25

If the quotient is a whole number, then 4 and 19,001,656.25 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 76,006,625
-1 76,006,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251131255652,8255,38114,12526,905134,525608,053672,6253,040,26515,201,32576,006,625
-1-5-25-113-125-565-2,825-5,381-14,125-26,905-134,525-608,053-672,625-3,040,265-15,201,325-76,006,625

More Examples

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