Q: What are the factor combinations of the number 234,569,077?

 A:
Positive:   1 x 23456907717 x 1379818141 x 572119767 x 3501031697 x 3365411139 x 2059432747 x 853915023 x 46699
Negative: -1 x -234569077-17 x -13798181-41 x -5721197-67 x -3501031-697 x -336541-1139 x -205943-2747 x -85391-5023 x -46699


How do I find the factor combinations of the number 234,569,077?

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 234,569,077, 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.

1 234,569,077
-1 -234,569,077

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 234,569,077.

Example:
1 x 234,569,077 = 234,569,077
and
-1 x -234,569,077 = 234,569,077
Notice both answers equal 234,569,077

With that explanation out of the way, let's continue. Next, we take the number 234,569,077 and divide it by 2:

234,569,077 ÷ 2 = 117,284,538.5

If the quotient is a whole number, then 2 and 117,284,538.5 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:

1 234,569,077
-1 -234,569,077

Now, we try dividing 234,569,077 by 3:

234,569,077 ÷ 3 = 78,189,692.3333

If the quotient is a whole number, then 3 and 78,189,692.3333 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:

1 234,569,077
-1 -234,569,077

Let's try dividing by 4:

234,569,077 ÷ 4 = 58,642,269.25

If the quotient is a whole number, then 4 and 58,642,269.25 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:

1 234,569,077
-1 234,569,077
Keep dividing by the next highest number until you cannot divide anymore.

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

11741676971,1392,7475,02346,69985,391205,943336,5413,501,0315,721,19713,798,181234,569,077
-1-17-41-67-697-1,139-2,747-5,023-46,699-85,391-205,943-336,541-3,501,031-5,721,197-13,798,181-234,569,077

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