Q: What are the factor combinations of the number 55,061,665?

 A:
Positive:   1 x 550616655 x 11012333101 x 545165107 x 514595505 x 109033535 x 1029191019 x 540355095 x 10807
Negative: -1 x -55061665-5 x -11012333-101 x -545165-107 x -514595-505 x -109033-535 x -102919-1019 x -54035-5095 x -10807


How do I find the factor combinations of the number 55,061,665?

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 55,061,665, 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 55,061,665
-1 -55,061,665

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 55,061,665.

Example:
1 x 55,061,665 = 55,061,665
and
-1 x -55,061,665 = 55,061,665
Notice both answers equal 55,061,665

With that explanation out of the way, let's continue. Next, we take the number 55,061,665 and divide it by 2:

55,061,665 ÷ 2 = 27,530,832.5

If the quotient is a whole number, then 2 and 27,530,832.5 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 55,061,665
-1 -55,061,665

Now, we try dividing 55,061,665 by 3:

55,061,665 ÷ 3 = 18,353,888.3333

If the quotient is a whole number, then 3 and 18,353,888.3333 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 55,061,665
-1 -55,061,665

Let's try dividing by 4:

55,061,665 ÷ 4 = 13,765,416.25

If the quotient is a whole number, then 4 and 13,765,416.25 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 55,061,665
-1 55,061,665
Keep dividing by the next highest number until you cannot divide anymore.

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

151011075055351,0195,09510,80754,035102,919109,033514,595545,16511,012,33355,061,665
-1-5-101-107-505-535-1,019-5,095-10,807-54,035-102,919-109,033-514,595-545,165-11,012,333-55,061,665

More Examples

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