Q: What are the factor combinations of the number 246,616,567?

 A:
Positive:   1 x 24661656743 x 573526947 x 52471612021 x 122027
Negative: -1 x -246616567-43 x -5735269-47 x -5247161-2021 x -122027


How do I find the factor combinations of the number 246,616,567?

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 246,616,567, 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.

1 246,616,567
-1 -246,616,567

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 246,616,567.

Example:
1 x 246,616,567 = 246,616,567
and
-1 x -246,616,567 = 246,616,567
Notice both answers equal 246,616,567

With that explanation out of the way, let's continue. Next, we take the number 246,616,567 and divide it by 2:

246,616,567 ÷ 2 = 123,308,283.5

If the quotient is a whole number, then 2 and 123,308,283.5 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:

1 246,616,567
-1 -246,616,567

Now, we try dividing 246,616,567 by 3:

246,616,567 ÷ 3 = 82,205,522.3333

If the quotient is a whole number, then 3 and 82,205,522.3333 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:

1 246,616,567
-1 -246,616,567

Let's try dividing by 4:

246,616,567 ÷ 4 = 61,654,141.75

If the quotient is a whole number, then 4 and 61,654,141.75 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:

1 246,616,567
-1 246,616,567
Keep dividing by the next highest number until you cannot divide anymore.

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

143472,021122,0275,247,1615,735,269246,616,567
-1-43-47-2,021-122,027-5,247,161-5,735,269-246,616,567

More Examples

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