Q: What are the factor combinations of the number 40,041,379?

 A:
Positive:   1 x 400413797 x 572019719 x 210744141 x 97661949 x 817171133 x 301063287 x 139517779 x 51401931 x 430091049 x 381712009 x 199315453 x 7343
Negative: -1 x -40041379-7 x -5720197-19 x -2107441-41 x -976619-49 x -817171-133 x -301063-287 x -139517-779 x -51401-931 x -43009-1049 x -38171-2009 x -19931-5453 x -7343


How do I find the factor combinations of the number 40,041,379?

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 40,041,379, 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 40,041,379
-1 -40,041,379

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 40,041,379.

Example:
1 x 40,041,379 = 40,041,379
and
-1 x -40,041,379 = 40,041,379
Notice both answers equal 40,041,379

With that explanation out of the way, let's continue. Next, we take the number 40,041,379 and divide it by 2:

40,041,379 ÷ 2 = 20,020,689.5

If the quotient is a whole number, then 2 and 20,020,689.5 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 40,041,379
-1 -40,041,379

Now, we try dividing 40,041,379 by 3:

40,041,379 ÷ 3 = 13,347,126.3333

If the quotient is a whole number, then 3 and 13,347,126.3333 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 40,041,379
-1 -40,041,379

Let's try dividing by 4:

40,041,379 ÷ 4 = 10,010,344.75

If the quotient is a whole number, then 4 and 10,010,344.75 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 40,041,379
-1 40,041,379
Keep dividing by the next highest number until you cannot divide anymore.

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

171941491332877799311,0492,0095,4537,34319,93138,17143,00951,401139,517301,063817,171976,6192,107,4415,720,19740,041,379
-1-7-19-41-49-133-287-779-931-1,049-2,009-5,453-7,343-19,931-38,171-43,009-51,401-139,517-301,063-817,171-976,619-2,107,441-5,720,197-40,041,379

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