Q: What are the factor combinations of the number 545,551,009?

 A:
Positive:   1 x 54555100919 x 28713211179 x 30477713401 x 160409
Negative: -1 x -545551009-19 x -28713211-179 x -3047771-3401 x -160409


How do I find the factor combinations of the number 545,551,009?

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 545,551,009, 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.

1 545,551,009
-1 -545,551,009

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 545,551,009.

Example:
1 x 545,551,009 = 545,551,009
and
-1 x -545,551,009 = 545,551,009
Notice both answers equal 545,551,009

With that explanation out of the way, let's continue. Next, we take the number 545,551,009 and divide it by 2:

545,551,009 ÷ 2 = 272,775,504.5

If the quotient is a whole number, then 2 and 272,775,504.5 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:

1 545,551,009
-1 -545,551,009

Now, we try dividing 545,551,009 by 3:

545,551,009 ÷ 3 = 181,850,336.3333

If the quotient is a whole number, then 3 and 181,850,336.3333 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:

1 545,551,009
-1 -545,551,009

Let's try dividing by 4:

545,551,009 ÷ 4 = 136,387,752.25

If the quotient is a whole number, then 4 and 136,387,752.25 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:

1 545,551,009
-1 545,551,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1191793,401160,4093,047,77128,713,211545,551,009
-1-19-179-3,401-160,409-3,047,771-28,713,211-545,551,009

More Examples

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