Q: What are the factor combinations of the number 31,504,445?

 A:
Positive:   1 x 315044455 x 63008897 x 450063535 x 900127337 x 934851685 x 186972359 x 133552671 x 11795
Negative: -1 x -31504445-5 x -6300889-7 x -4500635-35 x -900127-337 x -93485-1685 x -18697-2359 x -13355-2671 x -11795


How do I find the factor combinations of the number 31,504,445?

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 31,504,445, 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 31,504,445
-1 -31,504,445

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 31,504,445.

Example:
1 x 31,504,445 = 31,504,445
and
-1 x -31,504,445 = 31,504,445
Notice both answers equal 31,504,445

With that explanation out of the way, let's continue. Next, we take the number 31,504,445 and divide it by 2:

31,504,445 ÷ 2 = 15,752,222.5

If the quotient is a whole number, then 2 and 15,752,222.5 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 31,504,445
-1 -31,504,445

Now, we try dividing 31,504,445 by 3:

31,504,445 ÷ 3 = 10,501,481.6667

If the quotient is a whole number, then 3 and 10,501,481.6667 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 31,504,445
-1 -31,504,445

Let's try dividing by 4:

31,504,445 ÷ 4 = 7,876,111.25

If the quotient is a whole number, then 4 and 7,876,111.25 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 31,504,445
-1 31,504,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157353371,6852,3592,67111,79513,35518,69793,485900,1274,500,6356,300,88931,504,445
-1-5-7-35-337-1,685-2,359-2,671-11,795-13,355-18,697-93,485-900,127-4,500,635-6,300,889-31,504,445

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,504,445:


Ask a Question