Q: What are the factor combinations of the number 67,624,625?

 A:
Positive:   1 x 676246255 x 1352492525 x 2704985125 x 540997163 x 414875815 x 829753319 x 203754075 x 16595
Negative: -1 x -67624625-5 x -13524925-25 x -2704985-125 x -540997-163 x -414875-815 x -82975-3319 x -20375-4075 x -16595


How do I find the factor combinations of the number 67,624,625?

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 67,624,625, 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 67,624,625
-1 -67,624,625

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 67,624,625.

Example:
1 x 67,624,625 = 67,624,625
and
-1 x -67,624,625 = 67,624,625
Notice both answers equal 67,624,625

With that explanation out of the way, let's continue. Next, we take the number 67,624,625 and divide it by 2:

67,624,625 ÷ 2 = 33,812,312.5

If the quotient is a whole number, then 2 and 33,812,312.5 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 67,624,625
-1 -67,624,625

Now, we try dividing 67,624,625 by 3:

67,624,625 ÷ 3 = 22,541,541.6667

If the quotient is a whole number, then 3 and 22,541,541.6667 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 67,624,625
-1 -67,624,625

Let's try dividing by 4:

67,624,625 ÷ 4 = 16,906,156.25

If the quotient is a whole number, then 4 and 16,906,156.25 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 67,624,625
-1 67,624,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251638153,3194,07516,59520,37582,975414,875540,9972,704,98513,524,92567,624,625
-1-5-25-125-163-815-3,319-4,075-16,595-20,375-82,975-414,875-540,997-2,704,985-13,524,925-67,624,625

More Examples

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