Q: What are the factor combinations of the number 40,737,851?

 A:
Positive:   1 x 407378517 x 581969311 x 370344137 x 110102377 x 52906379 x 515669181 x 225071259 x 157289407 x 100093553 x 73667869 x 468791267 x 321531991 x 204612849 x 142992923 x 139376083 x 6697
Negative: -1 x -40737851-7 x -5819693-11 x -3703441-37 x -1101023-77 x -529063-79 x -515669-181 x -225071-259 x -157289-407 x -100093-553 x -73667-869 x -46879-1267 x -32153-1991 x -20461-2849 x -14299-2923 x -13937-6083 x -6697


How do I find the factor combinations of the number 40,737,851?

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 40,737,851, 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 40,737,851
-1 -40,737,851

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 40,737,851.

Example:
1 x 40,737,851 = 40,737,851
and
-1 x -40,737,851 = 40,737,851
Notice both answers equal 40,737,851

With that explanation out of the way, let's continue. Next, we take the number 40,737,851 and divide it by 2:

40,737,851 ÷ 2 = 20,368,925.5

If the quotient is a whole number, then 2 and 20,368,925.5 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 40,737,851
-1 -40,737,851

Now, we try dividing 40,737,851 by 3:

40,737,851 ÷ 3 = 13,579,283.6667

If the quotient is a whole number, then 3 and 13,579,283.6667 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 40,737,851
-1 -40,737,851

Let's try dividing by 4:

40,737,851 ÷ 4 = 10,184,462.75

If the quotient is a whole number, then 4 and 10,184,462.75 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 40,737,851
-1 40,737,851
Keep dividing by the next highest number until you cannot divide anymore.

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

17113777791812594075538691,2671,9912,8492,9236,0836,69713,93714,29920,46132,15346,87973,667100,093157,289225,071515,669529,0631,101,0233,703,4415,819,69340,737,851
-1-7-11-37-77-79-181-259-407-553-869-1,267-1,991-2,849-2,923-6,083-6,697-13,937-14,299-20,461-32,153-46,879-73,667-100,093-157,289-225,071-515,669-529,063-1,101,023-3,703,441-5,819,693-40,737,851

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