Q: What are the factor combinations of the number 460,413,833?

 A:
Positive:   1 x 46041383311 x 4185580319 x 2423230747 x 9796039121 x 3805073209 x 2202937517 x 890549893 x 5155812299 x 2002674261 x 1080535687 x 809599823 x 46871
Negative: -1 x -460413833-11 x -41855803-19 x -24232307-47 x -9796039-121 x -3805073-209 x -2202937-517 x -890549-893 x -515581-2299 x -200267-4261 x -108053-5687 x -80959-9823 x -46871


How do I find the factor combinations of the number 460,413,833?

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 460,413,833, 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.

1 460,413,833
-1 -460,413,833

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 460,413,833.

Example:
1 x 460,413,833 = 460,413,833
and
-1 x -460,413,833 = 460,413,833
Notice both answers equal 460,413,833

With that explanation out of the way, let's continue. Next, we take the number 460,413,833 and divide it by 2:

460,413,833 ÷ 2 = 230,206,916.5

If the quotient is a whole number, then 2 and 230,206,916.5 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:

1 460,413,833
-1 -460,413,833

Now, we try dividing 460,413,833 by 3:

460,413,833 ÷ 3 = 153,471,277.6667

If the quotient is a whole number, then 3 and 153,471,277.6667 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:

1 460,413,833
-1 -460,413,833

Let's try dividing by 4:

460,413,833 ÷ 4 = 115,103,458.25

If the quotient is a whole number, then 4 and 115,103,458.25 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:

1 460,413,833
-1 460,413,833
Keep dividing by the next highest number until you cannot divide anymore.

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

11119471212095178932,2994,2615,6879,82346,87180,959108,053200,267515,581890,5492,202,9373,805,0739,796,03924,232,30741,855,803460,413,833
-1-11-19-47-121-209-517-893-2,299-4,261-5,687-9,823-46,871-80,959-108,053-200,267-515,581-890,549-2,202,937-3,805,073-9,796,039-24,232,307-41,855,803-460,413,833

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