Q: What are the factor combinations of the number 400,701,161?

 A:
Positive:   1 x 4007011617 x 5724302373 x 5489057379 x 1057259511 x 7841512069 x 1936692653 x 15103714483 x 27667
Negative: -1 x -400701161-7 x -57243023-73 x -5489057-379 x -1057259-511 x -784151-2069 x -193669-2653 x -151037-14483 x -27667


How do I find the factor combinations of the number 400,701,161?

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 400,701,161, 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.

1 400,701,161
-1 -400,701,161

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 400,701,161.

Example:
1 x 400,701,161 = 400,701,161
and
-1 x -400,701,161 = 400,701,161
Notice both answers equal 400,701,161

With that explanation out of the way, let's continue. Next, we take the number 400,701,161 and divide it by 2:

400,701,161 ÷ 2 = 200,350,580.5

If the quotient is a whole number, then 2 and 200,350,580.5 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:

1 400,701,161
-1 -400,701,161

Now, we try dividing 400,701,161 by 3:

400,701,161 ÷ 3 = 133,567,053.6667

If the quotient is a whole number, then 3 and 133,567,053.6667 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:

1 400,701,161
-1 -400,701,161

Let's try dividing by 4:

400,701,161 ÷ 4 = 100,175,290.25

If the quotient is a whole number, then 4 and 100,175,290.25 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:

1 400,701,161
-1 400,701,161
Keep dividing by the next highest number until you cannot divide anymore.

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

17733795112,0692,65314,48327,667151,037193,669784,1511,057,2595,489,05757,243,023400,701,161
-1-7-73-379-511-2,069-2,653-14,483-27,667-151,037-193,669-784,151-1,057,259-5,489,057-57,243,023-400,701,161

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