Q: What are the factor combinations of the number 465,831,373?

 A:
Positive:   1 x 4658313737 x 6654733959 x 7895447137 x 3400229413 x 1127921959 x 4857478083 x 576318233 x 56581
Negative: -1 x -465831373-7 x -66547339-59 x -7895447-137 x -3400229-413 x -1127921-959 x -485747-8083 x -57631-8233 x -56581


How do I find the factor combinations of the number 465,831,373?

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 465,831,373, 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.

1 465,831,373
-1 -465,831,373

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 465,831,373.

Example:
1 x 465,831,373 = 465,831,373
and
-1 x -465,831,373 = 465,831,373
Notice both answers equal 465,831,373

With that explanation out of the way, let's continue. Next, we take the number 465,831,373 and divide it by 2:

465,831,373 ÷ 2 = 232,915,686.5

If the quotient is a whole number, then 2 and 232,915,686.5 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:

1 465,831,373
-1 -465,831,373

Now, we try dividing 465,831,373 by 3:

465,831,373 ÷ 3 = 155,277,124.3333

If the quotient is a whole number, then 3 and 155,277,124.3333 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:

1 465,831,373
-1 -465,831,373

Let's try dividing by 4:

465,831,373 ÷ 4 = 116,457,843.25

If the quotient is a whole number, then 4 and 116,457,843.25 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:

1 465,831,373
-1 465,831,373
Keep dividing by the next highest number until you cannot divide anymore.

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

17591374139598,0838,23356,58157,631485,7471,127,9213,400,2297,895,44766,547,339465,831,373
-1-7-59-137-413-959-8,083-8,233-56,581-57,631-485,747-1,127,921-3,400,229-7,895,447-66,547,339-465,831,373

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