Q: What are the factor combinations of the number 464,744,345?

 A:
Positive:   1 x 4647443455 x 9294886913 x 3574956565 x 714991371 x 6545695355 x 1309139923 x 5035154615 x 100703
Negative: -1 x -464744345-5 x -92948869-13 x -35749565-65 x -7149913-71 x -6545695-355 x -1309139-923 x -503515-4615 x -100703


How do I find the factor combinations of the number 464,744,345?

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 464,744,345, 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.

1 464,744,345
-1 -464,744,345

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 464,744,345.

Example:
1 x 464,744,345 = 464,744,345
and
-1 x -464,744,345 = 464,744,345
Notice both answers equal 464,744,345

With that explanation out of the way, let's continue. Next, we take the number 464,744,345 and divide it by 2:

464,744,345 ÷ 2 = 232,372,172.5

If the quotient is a whole number, then 2 and 232,372,172.5 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:

1 464,744,345
-1 -464,744,345

Now, we try dividing 464,744,345 by 3:

464,744,345 ÷ 3 = 154,914,781.6667

If the quotient is a whole number, then 3 and 154,914,781.6667 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:

1 464,744,345
-1 -464,744,345

Let's try dividing by 4:

464,744,345 ÷ 4 = 116,186,086.25

If the quotient is a whole number, then 4 and 116,186,086.25 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:

1 464,744,345
-1 464,744,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151365713559234,615100,703503,5151,309,1396,545,6957,149,91335,749,56592,948,869464,744,345
-1-5-13-65-71-355-923-4,615-100,703-503,515-1,309,139-6,545,695-7,149,913-35,749,565-92,948,869-464,744,345

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