Q: What are the factor combinations of the number 3,110,107?

 A:
Positive:   1 x 31101077 x 44430111 x 28273713 x 23923977 x 4039191 x 34177143 x 21749169 x 18403239 x 130131001 x 31071183 x 26291673 x 1859
Negative: -1 x -3110107-7 x -444301-11 x -282737-13 x -239239-77 x -40391-91 x -34177-143 x -21749-169 x -18403-239 x -13013-1001 x -3107-1183 x -2629-1673 x -1859


How do I find the factor combinations of the number 3,110,107?

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 3,110,107, 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 3,110,107
-1 -3,110,107

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 3,110,107.

Example:
1 x 3,110,107 = 3,110,107
and
-1 x -3,110,107 = 3,110,107
Notice both answers equal 3,110,107

With that explanation out of the way, let's continue. Next, we take the number 3,110,107 and divide it by 2:

3,110,107 ÷ 2 = 1,555,053.5

If the quotient is a whole number, then 2 and 1,555,053.5 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 3,110,107
-1 -3,110,107

Now, we try dividing 3,110,107 by 3:

3,110,107 ÷ 3 = 1,036,702.3333

If the quotient is a whole number, then 3 and 1,036,702.3333 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 3,110,107
-1 -3,110,107

Let's try dividing by 4:

3,110,107 ÷ 4 = 777,526.75

If the quotient is a whole number, then 4 and 777,526.75 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 3,110,107
-1 3,110,107
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431692391,0011,1831,6731,8592,6293,10713,01318,40321,74934,17740,391239,239282,737444,3013,110,107
-1-7-11-13-77-91-143-169-239-1,001-1,183-1,673-1,859-2,629-3,107-13,013-18,403-21,749-34,177-40,391-239,239-282,737-444,301-3,110,107

More Examples

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