Q: What are the factor combinations of the number 271,226,137?

 A:
Positive:   1 x 2712261377 x 3874659113 x 2086354991 x 2980507557 x 4869413899 x 695635351 x 506877241 x 37457
Negative: -1 x -271226137-7 x -38746591-13 x -20863549-91 x -2980507-557 x -486941-3899 x -69563-5351 x -50687-7241 x -37457


How do I find the factor combinations of the number 271,226,137?

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 271,226,137, 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.

1 271,226,137
-1 -271,226,137

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 271,226,137.

Example:
1 x 271,226,137 = 271,226,137
and
-1 x -271,226,137 = 271,226,137
Notice both answers equal 271,226,137

With that explanation out of the way, let's continue. Next, we take the number 271,226,137 and divide it by 2:

271,226,137 ÷ 2 = 135,613,068.5

If the quotient is a whole number, then 2 and 135,613,068.5 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:

1 271,226,137
-1 -271,226,137

Now, we try dividing 271,226,137 by 3:

271,226,137 ÷ 3 = 90,408,712.3333

If the quotient is a whole number, then 3 and 90,408,712.3333 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:

1 271,226,137
-1 -271,226,137

Let's try dividing by 4:

271,226,137 ÷ 4 = 67,806,534.25

If the quotient is a whole number, then 4 and 67,806,534.25 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:

1 271,226,137
-1 271,226,137
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915573,8995,3517,24137,45750,68769,563486,9412,980,50720,863,54938,746,591271,226,137
-1-7-13-91-557-3,899-5,351-7,241-37,457-50,687-69,563-486,941-2,980,507-20,863,549-38,746,591-271,226,137

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