Q: What are the factor combinations of the number 271,213,873?

 A:
Positive:   1 x 2712138737 x 3874483949 x 553497779 x 3433087343 x 790711553 x 4904413871 x 7006310009 x 27097
Negative: -1 x -271213873-7 x -38744839-49 x -5534977-79 x -3433087-343 x -790711-553 x -490441-3871 x -70063-10009 x -27097


How do I find the factor combinations of the number 271,213,873?

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 271,213,873, 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.

1 271,213,873
-1 -271,213,873

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 271,213,873.

Example:
1 x 271,213,873 = 271,213,873
and
-1 x -271,213,873 = 271,213,873
Notice both answers equal 271,213,873

With that explanation out of the way, let's continue. Next, we take the number 271,213,873 and divide it by 2:

271,213,873 ÷ 2 = 135,606,936.5

If the quotient is a whole number, then 2 and 135,606,936.5 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:

1 271,213,873
-1 -271,213,873

Now, we try dividing 271,213,873 by 3:

271,213,873 ÷ 3 = 90,404,624.3333

If the quotient is a whole number, then 3 and 90,404,624.3333 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:

1 271,213,873
-1 -271,213,873

Let's try dividing by 4:

271,213,873 ÷ 4 = 67,803,468.25

If the quotient is a whole number, then 4 and 67,803,468.25 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:

1 271,213,873
-1 271,213,873
Keep dividing by the next highest number until you cannot divide anymore.

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

1749793435533,87110,00927,09770,063490,441790,7113,433,0875,534,97738,744,839271,213,873
-1-7-49-79-343-553-3,871-10,009-27,097-70,063-490,441-790,711-3,433,087-5,534,977-38,744,839-271,213,873

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