Q: What are the factor combinations of the number 307,772,035?

 A:
Positive:   1 x 3077720355 x 6155440741 x 7506635205 x 1501327443 x 6947452215 x 1389493389 x 9081516945 x 18163
Negative: -1 x -307772035-5 x -61554407-41 x -7506635-205 x -1501327-443 x -694745-2215 x -138949-3389 x -90815-16945 x -18163


How do I find the factor combinations of the number 307,772,035?

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 307,772,035, 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.

1 307,772,035
-1 -307,772,035

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 307,772,035.

Example:
1 x 307,772,035 = 307,772,035
and
-1 x -307,772,035 = 307,772,035
Notice both answers equal 307,772,035

With that explanation out of the way, let's continue. Next, we take the number 307,772,035 and divide it by 2:

307,772,035 ÷ 2 = 153,886,017.5

If the quotient is a whole number, then 2 and 153,886,017.5 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:

1 307,772,035
-1 -307,772,035

Now, we try dividing 307,772,035 by 3:

307,772,035 ÷ 3 = 102,590,678.3333

If the quotient is a whole number, then 3 and 102,590,678.3333 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:

1 307,772,035
-1 -307,772,035

Let's try dividing by 4:

307,772,035 ÷ 4 = 76,943,008.75

If the quotient is a whole number, then 4 and 76,943,008.75 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:

1 307,772,035
-1 307,772,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15412054432,2153,38916,94518,16390,815138,949694,7451,501,3277,506,63561,554,407307,772,035
-1-5-41-205-443-2,215-3,389-16,945-18,163-90,815-138,949-694,745-1,501,327-7,506,635-61,554,407-307,772,035

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