Q: What are the factor combinations of the number 307,271,515?

 A:
Positive:   1 x 3072715155 x 6145430317 x 1807479519 x 1617218585 x 361495995 x 3234437323 x 9513051615 x 190261
Negative: -1 x -307271515-5 x -61454303-17 x -18074795-19 x -16172185-85 x -3614959-95 x -3234437-323 x -951305-1615 x -190261


How do I find the factor combinations of the number 307,271,515?

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 307,271,515, 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.

1 307,271,515
-1 -307,271,515

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 307,271,515.

Example:
1 x 307,271,515 = 307,271,515
and
-1 x -307,271,515 = 307,271,515
Notice both answers equal 307,271,515

With that explanation out of the way, let's continue. Next, we take the number 307,271,515 and divide it by 2:

307,271,515 ÷ 2 = 153,635,757.5

If the quotient is a whole number, then 2 and 153,635,757.5 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:

1 307,271,515
-1 -307,271,515

Now, we try dividing 307,271,515 by 3:

307,271,515 ÷ 3 = 102,423,838.3333

If the quotient is a whole number, then 3 and 102,423,838.3333 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:

1 307,271,515
-1 -307,271,515

Let's try dividing by 4:

307,271,515 ÷ 4 = 76,817,878.75

If the quotient is a whole number, then 4 and 76,817,878.75 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:

1 307,271,515
-1 307,271,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,615190,261951,3053,234,4373,614,95916,172,18518,074,79561,454,303307,271,515
-1-5-17-19-85-95-323-1,615-190,261-951,305-3,234,437-3,614,959-16,172,185-18,074,795-61,454,303-307,271,515

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