Q: What are the factor combinations of the number 46,630,693?

 A:
Positive:   1 x 4663069319 x 245424737 x 1260289113 x 412661587 x 79439703 x 663312147 x 217194181 x 11153
Negative: -1 x -46630693-19 x -2454247-37 x -1260289-113 x -412661-587 x -79439-703 x -66331-2147 x -21719-4181 x -11153


How do I find the factor combinations of the number 46,630,693?

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 46,630,693, 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 46,630,693
-1 -46,630,693

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 46,630,693.

Example:
1 x 46,630,693 = 46,630,693
and
-1 x -46,630,693 = 46,630,693
Notice both answers equal 46,630,693

With that explanation out of the way, let's continue. Next, we take the number 46,630,693 and divide it by 2:

46,630,693 ÷ 2 = 23,315,346.5

If the quotient is a whole number, then 2 and 23,315,346.5 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 46,630,693
-1 -46,630,693

Now, we try dividing 46,630,693 by 3:

46,630,693 ÷ 3 = 15,543,564.3333

If the quotient is a whole number, then 3 and 15,543,564.3333 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 46,630,693
-1 -46,630,693

Let's try dividing by 4:

46,630,693 ÷ 4 = 11,657,673.25

If the quotient is a whole number, then 4 and 11,657,673.25 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 46,630,693
-1 46,630,693
Keep dividing by the next highest number until you cannot divide anymore.

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

119371135877032,1474,18111,15321,71966,33179,439412,6611,260,2892,454,24746,630,693
-1-19-37-113-587-703-2,147-4,181-11,153-21,719-66,331-79,439-412,661-1,260,289-2,454,247-46,630,693

More Examples

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