Q: What are the factor combinations of the number 31,425,125?

 A:
Positive:   1 x 314251255 x 628502525 x 125700529 x 1083625125 x 251401145 x 216725725 x 433453625 x 8669
Negative: -1 x -31425125-5 x -6285025-25 x -1257005-29 x -1083625-125 x -251401-145 x -216725-725 x -43345-3625 x -8669


How do I find the factor combinations of the number 31,425,125?

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 31,425,125, 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 31,425,125
-1 -31,425,125

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 31,425,125.

Example:
1 x 31,425,125 = 31,425,125
and
-1 x -31,425,125 = 31,425,125
Notice both answers equal 31,425,125

With that explanation out of the way, let's continue. Next, we take the number 31,425,125 and divide it by 2:

31,425,125 ÷ 2 = 15,712,562.5

If the quotient is a whole number, then 2 and 15,712,562.5 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 31,425,125
-1 -31,425,125

Now, we try dividing 31,425,125 by 3:

31,425,125 ÷ 3 = 10,475,041.6667

If the quotient is a whole number, then 3 and 10,475,041.6667 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 31,425,125
-1 -31,425,125

Let's try dividing by 4:

31,425,125 ÷ 4 = 7,856,281.25

If the quotient is a whole number, then 4 and 7,856,281.25 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 31,425,125
-1 31,425,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251457253,6258,66943,345216,725251,4011,083,6251,257,0056,285,02531,425,125
-1-5-25-29-125-145-725-3,625-8,669-43,345-216,725-251,401-1,083,625-1,257,005-6,285,025-31,425,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,425,125:


Ask a Question