Q: What are the factor combinations of the number 31,053,055?

 A:
Positive:   1 x 310530555 x 621061111 x 282300529 x 107079555 x 564601145 x 214159319 x 973451595 x 19469
Negative: -1 x -31053055-5 x -6210611-11 x -2823005-29 x -1070795-55 x -564601-145 x -214159-319 x -97345-1595 x -19469


How do I find the factor combinations of the number 31,053,055?

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 31,053,055, 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 31,053,055
-1 -31,053,055

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 31,053,055.

Example:
1 x 31,053,055 = 31,053,055
and
-1 x -31,053,055 = 31,053,055
Notice both answers equal 31,053,055

With that explanation out of the way, let's continue. Next, we take the number 31,053,055 and divide it by 2:

31,053,055 ÷ 2 = 15,526,527.5

If the quotient is a whole number, then 2 and 15,526,527.5 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 31,053,055
-1 -31,053,055

Now, we try dividing 31,053,055 by 3:

31,053,055 ÷ 3 = 10,351,018.3333

If the quotient is a whole number, then 3 and 10,351,018.3333 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 31,053,055
-1 -31,053,055

Let's try dividing by 4:

31,053,055 ÷ 4 = 7,763,263.75

If the quotient is a whole number, then 4 and 7,763,263.75 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 31,053,055
-1 31,053,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,59519,46997,345214,159564,6011,070,7952,823,0056,210,61131,053,055
-1-5-11-29-55-145-319-1,595-19,469-97,345-214,159-564,601-1,070,795-2,823,005-6,210,611-31,053,055

More Examples

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