Q: What are the factor combinations of the number 40,421,341?

 A:
Positive:   1 x 4042134119 x 212743973 x 553717151 x 267691193 x 2094371387 x 291432869 x 140893667 x 11023
Negative: -1 x -40421341-19 x -2127439-73 x -553717-151 x -267691-193 x -209437-1387 x -29143-2869 x -14089-3667 x -11023


How do I find the factor combinations of the number 40,421,341?

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 40,421,341, 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 40,421,341
-1 -40,421,341

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 40,421,341.

Example:
1 x 40,421,341 = 40,421,341
and
-1 x -40,421,341 = 40,421,341
Notice both answers equal 40,421,341

With that explanation out of the way, let's continue. Next, we take the number 40,421,341 and divide it by 2:

40,421,341 ÷ 2 = 20,210,670.5

If the quotient is a whole number, then 2 and 20,210,670.5 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 40,421,341
-1 -40,421,341

Now, we try dividing 40,421,341 by 3:

40,421,341 ÷ 3 = 13,473,780.3333

If the quotient is a whole number, then 3 and 13,473,780.3333 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 40,421,341
-1 -40,421,341

Let's try dividing by 4:

40,421,341 ÷ 4 = 10,105,335.25

If the quotient is a whole number, then 4 and 10,105,335.25 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 40,421,341
-1 40,421,341
Keep dividing by the next highest number until you cannot divide anymore.

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

119731511931,3872,8693,66711,02314,08929,143209,437267,691553,7172,127,43940,421,341
-1-19-73-151-193-1,387-2,869-3,667-11,023-14,089-29,143-209,437-267,691-553,717-2,127,439-40,421,341

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