Q: What are the factor combinations of the number 271,053,013?

 A:
Positive:   1 x 2710530137 x 3872185911 x 2464118377 x 35201691381 x 1962732549 x 1063379667 x 2803915191 x 17843
Negative: -1 x -271053013-7 x -38721859-11 x -24641183-77 x -3520169-1381 x -196273-2549 x -106337-9667 x -28039-15191 x -17843


How do I find the factor combinations of the number 271,053,013?

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 271,053,013, 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.

1 271,053,013
-1 -271,053,013

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 271,053,013.

Example:
1 x 271,053,013 = 271,053,013
and
-1 x -271,053,013 = 271,053,013
Notice both answers equal 271,053,013

With that explanation out of the way, let's continue. Next, we take the number 271,053,013 and divide it by 2:

271,053,013 ÷ 2 = 135,526,506.5

If the quotient is a whole number, then 2 and 135,526,506.5 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:

1 271,053,013
-1 -271,053,013

Now, we try dividing 271,053,013 by 3:

271,053,013 ÷ 3 = 90,351,004.3333

If the quotient is a whole number, then 3 and 90,351,004.3333 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:

1 271,053,013
-1 -271,053,013

Let's try dividing by 4:

271,053,013 ÷ 4 = 67,763,253.25

If the quotient is a whole number, then 4 and 67,763,253.25 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:

1 271,053,013
-1 271,053,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,3812,5499,66715,19117,84328,039106,337196,2733,520,16924,641,18338,721,859271,053,013
-1-7-11-77-1,381-2,549-9,667-15,191-17,843-28,039-106,337-196,273-3,520,169-24,641,183-38,721,859-271,053,013

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