Q: What are the factor combinations of the number 55,161,605?

 A:
Positive:   1 x 551616055 x 1103232141 x 134540553 x 1040785205 x 269081265 x 2081572173 x 253855077 x 10865
Negative: -1 x -55161605-5 x -11032321-41 x -1345405-53 x -1040785-205 x -269081-265 x -208157-2173 x -25385-5077 x -10865


How do I find the factor combinations of the number 55,161,605?

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 55,161,605, 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 55,161,605
-1 -55,161,605

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 55,161,605.

Example:
1 x 55,161,605 = 55,161,605
and
-1 x -55,161,605 = 55,161,605
Notice both answers equal 55,161,605

With that explanation out of the way, let's continue. Next, we take the number 55,161,605 and divide it by 2:

55,161,605 ÷ 2 = 27,580,802.5

If the quotient is a whole number, then 2 and 27,580,802.5 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 55,161,605
-1 -55,161,605

Now, we try dividing 55,161,605 by 3:

55,161,605 ÷ 3 = 18,387,201.6667

If the quotient is a whole number, then 3 and 18,387,201.6667 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 55,161,605
-1 -55,161,605

Let's try dividing by 4:

55,161,605 ÷ 4 = 13,790,401.25

If the quotient is a whole number, then 4 and 13,790,401.25 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 55,161,605
-1 55,161,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1541532052652,1735,07710,86525,385208,157269,0811,040,7851,345,40511,032,32155,161,605
-1-5-41-53-205-265-2,173-5,077-10,865-25,385-208,157-269,081-1,040,785-1,345,405-11,032,321-55,161,605

More Examples

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