Q: What are the factor combinations of the number 210,155,305?

 A:
Positive:   1 x 2101553055 x 42031061167 x 1258415389 x 540245647 x 324815835 x 2516831945 x 1080493235 x 64963
Negative: -1 x -210155305-5 x -42031061-167 x -1258415-389 x -540245-647 x -324815-835 x -251683-1945 x -108049-3235 x -64963


How do I find the factor combinations of the number 210,155,305?

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 210,155,305, 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.

1 210,155,305
-1 -210,155,305

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 210,155,305.

Example:
1 x 210,155,305 = 210,155,305
and
-1 x -210,155,305 = 210,155,305
Notice both answers equal 210,155,305

With that explanation out of the way, let's continue. Next, we take the number 210,155,305 and divide it by 2:

210,155,305 ÷ 2 = 105,077,652.5

If the quotient is a whole number, then 2 and 105,077,652.5 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:

1 210,155,305
-1 -210,155,305

Now, we try dividing 210,155,305 by 3:

210,155,305 ÷ 3 = 70,051,768.3333

If the quotient is a whole number, then 3 and 70,051,768.3333 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:

1 210,155,305
-1 -210,155,305

Let's try dividing by 4:

210,155,305 ÷ 4 = 52,538,826.25

If the quotient is a whole number, then 4 and 52,538,826.25 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:

1 210,155,305
-1 210,155,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151673896478351,9453,23564,963108,049251,683324,815540,2451,258,41542,031,061210,155,305
-1-5-167-389-647-835-1,945-3,235-64,963-108,049-251,683-324,815-540,245-1,258,415-42,031,061-210,155,305

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