Q: What are the factor combinations of the number 31,142,111?

 A:
Positive:   1 x 311421117 x 444887311 x 283110113 x 239554753 x 58758777 x 40444391 x 342221143 x 217777371 x 83941583 x 53417587 x 53053689 x 451991001 x 311114081 x 76314109 x 75794823 x 6457
Negative: -1 x -31142111-7 x -4448873-11 x -2831101-13 x -2395547-53 x -587587-77 x -404443-91 x -342221-143 x -217777-371 x -83941-583 x -53417-587 x -53053-689 x -45199-1001 x -31111-4081 x -7631-4109 x -7579-4823 x -6457


How do I find the factor combinations of the number 31,142,111?

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 31,142,111, 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 31,142,111
-1 -31,142,111

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 31,142,111.

Example:
1 x 31,142,111 = 31,142,111
and
-1 x -31,142,111 = 31,142,111
Notice both answers equal 31,142,111

With that explanation out of the way, let's continue. Next, we take the number 31,142,111 and divide it by 2:

31,142,111 ÷ 2 = 15,571,055.5

If the quotient is a whole number, then 2 and 15,571,055.5 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 31,142,111
-1 -31,142,111

Now, we try dividing 31,142,111 by 3:

31,142,111 ÷ 3 = 10,380,703.6667

If the quotient is a whole number, then 3 and 10,380,703.6667 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 31,142,111
-1 -31,142,111

Let's try dividing by 4:

31,142,111 ÷ 4 = 7,785,527.75

If the quotient is a whole number, then 4 and 7,785,527.75 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 31,142,111
-1 31,142,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1711135377911433715835876891,0014,0814,1094,8236,4577,5797,63131,11145,19953,05353,41783,941217,777342,221404,443587,5872,395,5472,831,1014,448,87331,142,111
-1-7-11-13-53-77-91-143-371-583-587-689-1,001-4,081-4,109-4,823-6,457-7,579-7,631-31,111-45,199-53,053-53,417-83,941-217,777-342,221-404,443-587,587-2,395,547-2,831,101-4,448,873-31,142,111

More Examples

Here are some more numbers to try:

31,142,10931,142,11031,142,11231,142,113
Try the factor calculator

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