Q: What are the factor combinations of the number 316,356,271?

 A:
Positive:   1 x 3163562717 x 4519375311 x 2875966131 x 1020504177 x 4108523217 x 1457863341 x 9277312387 x 132533
Negative: -1 x -316356271-7 x -45193753-11 x -28759661-31 x -10205041-77 x -4108523-217 x -1457863-341 x -927731-2387 x -132533


How do I find the factor combinations of the number 316,356,271?

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 316,356,271, 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.

1 316,356,271
-1 -316,356,271

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 316,356,271.

Example:
1 x 316,356,271 = 316,356,271
and
-1 x -316,356,271 = 316,356,271
Notice both answers equal 316,356,271

With that explanation out of the way, let's continue. Next, we take the number 316,356,271 and divide it by 2:

316,356,271 ÷ 2 = 158,178,135.5

If the quotient is a whole number, then 2 and 158,178,135.5 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:

1 316,356,271
-1 -316,356,271

Now, we try dividing 316,356,271 by 3:

316,356,271 ÷ 3 = 105,452,090.3333

If the quotient is a whole number, then 3 and 105,452,090.3333 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:

1 316,356,271
-1 -316,356,271

Let's try dividing by 4:

316,356,271 ÷ 4 = 79,089,067.75

If the quotient is a whole number, then 4 and 79,089,067.75 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:

1 316,356,271
-1 316,356,271
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,387132,533927,7311,457,8634,108,52310,205,04128,759,66145,193,753316,356,271
-1-7-11-31-77-217-341-2,387-132,533-927,731-1,457,863-4,108,523-10,205,041-28,759,661-45,193,753-316,356,271

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