Q: What are the factor combinations of the number 404,162,437?

 A:
Positive:   1 x 4041624377 x 5773749117 x 2377426149 x 8248213119 x 3396323547 x 738871833 x 485189887 x 4556513829 x 1055536209 x 650939299 x 4346315079 x 26803
Negative: -1 x -404162437-7 x -57737491-17 x -23774261-49 x -8248213-119 x -3396323-547 x -738871-833 x -485189-887 x -455651-3829 x -105553-6209 x -65093-9299 x -43463-15079 x -26803


How do I find the factor combinations of the number 404,162,437?

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 404,162,437, 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.

1 404,162,437
-1 -404,162,437

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 404,162,437.

Example:
1 x 404,162,437 = 404,162,437
and
-1 x -404,162,437 = 404,162,437
Notice both answers equal 404,162,437

With that explanation out of the way, let's continue. Next, we take the number 404,162,437 and divide it by 2:

404,162,437 ÷ 2 = 202,081,218.5

If the quotient is a whole number, then 2 and 202,081,218.5 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:

1 404,162,437
-1 -404,162,437

Now, we try dividing 404,162,437 by 3:

404,162,437 ÷ 3 = 134,720,812.3333

If the quotient is a whole number, then 3 and 134,720,812.3333 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:

1 404,162,437
-1 -404,162,437

Let's try dividing by 4:

404,162,437 ÷ 4 = 101,040,609.25

If the quotient is a whole number, then 4 and 101,040,609.25 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:

1 404,162,437
-1 404,162,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491195478338873,8296,2099,29915,07926,80343,46365,093105,553455,651485,189738,8713,396,3238,248,21323,774,26157,737,491404,162,437
-1-7-17-49-119-547-833-887-3,829-6,209-9,299-15,079-26,803-43,463-65,093-105,553-455,651-485,189-738,871-3,396,323-8,248,213-23,774,261-57,737,491-404,162,437

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