Q: What are the factor combinations of the number 106,477,777?

 A:
Positive:   1 x 1064777777 x 1521111131 x 343476771 x 1499687217 x 490681497 x 2142412201 x 483776911 x 15407
Negative: -1 x -106477777-7 x -15211111-31 x -3434767-71 x -1499687-217 x -490681-497 x -214241-2201 x -48377-6911 x -15407


How do I find the factor combinations of the number 106,477,777?

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 106,477,777, 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.

1 106,477,777
-1 -106,477,777

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 106,477,777.

Example:
1 x 106,477,777 = 106,477,777
and
-1 x -106,477,777 = 106,477,777
Notice both answers equal 106,477,777

With that explanation out of the way, let's continue. Next, we take the number 106,477,777 and divide it by 2:

106,477,777 ÷ 2 = 53,238,888.5

If the quotient is a whole number, then 2 and 53,238,888.5 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:

1 106,477,777
-1 -106,477,777

Now, we try dividing 106,477,777 by 3:

106,477,777 ÷ 3 = 35,492,592.3333

If the quotient is a whole number, then 3 and 35,492,592.3333 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:

1 106,477,777
-1 -106,477,777

Let's try dividing by 4:

106,477,777 ÷ 4 = 26,619,444.25

If the quotient is a whole number, then 4 and 26,619,444.25 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:

1 106,477,777
-1 106,477,777
Keep dividing by the next highest number until you cannot divide anymore.

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

1731712174972,2016,91115,40748,377214,241490,6811,499,6873,434,76715,211,111106,477,777
-1-7-31-71-217-497-2,201-6,911-15,407-48,377-214,241-490,681-1,499,687-3,434,767-15,211,111-106,477,777

More Examples

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