Q: What are the factor combinations of the number 67,502,245?

 A:
Positive:   1 x 675022455 x 1350044937 x 1824385113 x 597365185 x 364877565 x 1194733229 x 209054181 x 16145
Negative: -1 x -67502245-5 x -13500449-37 x -1824385-113 x -597365-185 x -364877-565 x -119473-3229 x -20905-4181 x -16145


How do I find the factor combinations of the number 67,502,245?

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 67,502,245, 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 67,502,245
-1 -67,502,245

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 67,502,245.

Example:
1 x 67,502,245 = 67,502,245
and
-1 x -67,502,245 = 67,502,245
Notice both answers equal 67,502,245

With that explanation out of the way, let's continue. Next, we take the number 67,502,245 and divide it by 2:

67,502,245 ÷ 2 = 33,751,122.5

If the quotient is a whole number, then 2 and 33,751,122.5 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 67,502,245
-1 -67,502,245

Now, we try dividing 67,502,245 by 3:

67,502,245 ÷ 3 = 22,500,748.3333

If the quotient is a whole number, then 3 and 22,500,748.3333 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 67,502,245
-1 -67,502,245

Let's try dividing by 4:

67,502,245 ÷ 4 = 16,875,561.25

If the quotient is a whole number, then 4 and 16,875,561.25 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 67,502,245
-1 67,502,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15371131855653,2294,18116,14520,905119,473364,877597,3651,824,38513,500,44967,502,245
-1-5-37-113-185-565-3,229-4,181-16,145-20,905-119,473-364,877-597,365-1,824,385-13,500,449-67,502,245

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