Q: What are the factor combinations of the number 423,420,011?

 A:
Positive:   1 x 4234200117 x 6048857343 x 9846977301 x 1406711367 x 11537332569 x 1648193833 x 11046715781 x 26831
Negative: -1 x -423420011-7 x -60488573-43 x -9846977-301 x -1406711-367 x -1153733-2569 x -164819-3833 x -110467-15781 x -26831


How do I find the factor combinations of the number 423,420,011?

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 423,420,011, 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.

1 423,420,011
-1 -423,420,011

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 423,420,011.

Example:
1 x 423,420,011 = 423,420,011
and
-1 x -423,420,011 = 423,420,011
Notice both answers equal 423,420,011

With that explanation out of the way, let's continue. Next, we take the number 423,420,011 and divide it by 2:

423,420,011 ÷ 2 = 211,710,005.5

If the quotient is a whole number, then 2 and 211,710,005.5 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:

1 423,420,011
-1 -423,420,011

Now, we try dividing 423,420,011 by 3:

423,420,011 ÷ 3 = 141,140,003.6667

If the quotient is a whole number, then 3 and 141,140,003.6667 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:

1 423,420,011
-1 -423,420,011

Let's try dividing by 4:

423,420,011 ÷ 4 = 105,855,002.75

If the quotient is a whole number, then 4 and 105,855,002.75 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:

1 423,420,011
-1 423,420,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17433013672,5693,83315,78126,831110,467164,8191,153,7331,406,7119,846,97760,488,573423,420,011
-1-7-43-301-367-2,569-3,833-15,781-26,831-110,467-164,819-1,153,733-1,406,711-9,846,977-60,488,573-423,420,011

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