Q: What are the factor combinations of the number 362,412,161?

 A:
Positive:   1 x 36241216141 x 883932159 x 6142579233 x 1555417643 x 5636272419 x 1498199553 x 3793713747 x 26363
Negative: -1 x -362412161-41 x -8839321-59 x -6142579-233 x -1555417-643 x -563627-2419 x -149819-9553 x -37937-13747 x -26363


How do I find the factor combinations of the number 362,412,161?

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 362,412,161, 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.

1 362,412,161
-1 -362,412,161

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 362,412,161.

Example:
1 x 362,412,161 = 362,412,161
and
-1 x -362,412,161 = 362,412,161
Notice both answers equal 362,412,161

With that explanation out of the way, let's continue. Next, we take the number 362,412,161 and divide it by 2:

362,412,161 ÷ 2 = 181,206,080.5

If the quotient is a whole number, then 2 and 181,206,080.5 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:

1 362,412,161
-1 -362,412,161

Now, we try dividing 362,412,161 by 3:

362,412,161 ÷ 3 = 120,804,053.6667

If the quotient is a whole number, then 3 and 120,804,053.6667 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:

1 362,412,161
-1 -362,412,161

Let's try dividing by 4:

362,412,161 ÷ 4 = 90,603,040.25

If the quotient is a whole number, then 4 and 90,603,040.25 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:

1 362,412,161
-1 362,412,161
Keep dividing by the next highest number until you cannot divide anymore.

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

141592336432,4199,55313,74726,36337,937149,819563,6271,555,4176,142,5798,839,321362,412,161
-1-41-59-233-643-2,419-9,553-13,747-26,363-37,937-149,819-563,627-1,555,417-6,142,579-8,839,321-362,412,161

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