Q: What are the factor combinations of the number 153,204,233?

 A:
Positive:   1 x 1532042337 x 2188631913 x 1178494149 x 312661791 x 1683563637 x 240509
Negative: -1 x -153204233-7 x -21886319-13 x -11784941-49 x -3126617-91 x -1683563-637 x -240509


How do I find the factor combinations of the number 153,204,233?

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 153,204,233, 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.

1 153,204,233
-1 -153,204,233

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 153,204,233.

Example:
1 x 153,204,233 = 153,204,233
and
-1 x -153,204,233 = 153,204,233
Notice both answers equal 153,204,233

With that explanation out of the way, let's continue. Next, we take the number 153,204,233 and divide it by 2:

153,204,233 ÷ 2 = 76,602,116.5

If the quotient is a whole number, then 2 and 76,602,116.5 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:

1 153,204,233
-1 -153,204,233

Now, we try dividing 153,204,233 by 3:

153,204,233 ÷ 3 = 51,068,077.6667

If the quotient is a whole number, then 3 and 51,068,077.6667 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:

1 153,204,233
-1 -153,204,233

Let's try dividing by 4:

153,204,233 ÷ 4 = 38,301,058.25

If the quotient is a whole number, then 4 and 38,301,058.25 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:

1 153,204,233
-1 153,204,233
Keep dividing by the next highest number until you cannot divide anymore.

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

17134991637240,5091,683,5633,126,61711,784,94121,886,319153,204,233
-1-7-13-49-91-637-240,509-1,683,563-3,126,617-11,784,941-21,886,319-153,204,233

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