Q: What are the factor combinations of the number 31,445,297?

 A:
Positive:   1 x 3144529713 x 241886983 x 378859151 x 208247193 x 1629291079 x 291431963 x 160192509 x 12533
Negative: -1 x -31445297-13 x -2418869-83 x -378859-151 x -208247-193 x -162929-1079 x -29143-1963 x -16019-2509 x -12533


How do I find the factor combinations of the number 31,445,297?

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 31,445,297, 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 31,445,297
-1 -31,445,297

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 31,445,297.

Example:
1 x 31,445,297 = 31,445,297
and
-1 x -31,445,297 = 31,445,297
Notice both answers equal 31,445,297

With that explanation out of the way, let's continue. Next, we take the number 31,445,297 and divide it by 2:

31,445,297 ÷ 2 = 15,722,648.5

If the quotient is a whole number, then 2 and 15,722,648.5 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 31,445,297
-1 -31,445,297

Now, we try dividing 31,445,297 by 3:

31,445,297 ÷ 3 = 10,481,765.6667

If the quotient is a whole number, then 3 and 10,481,765.6667 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 31,445,297
-1 -31,445,297

Let's try dividing by 4:

31,445,297 ÷ 4 = 7,861,324.25

If the quotient is a whole number, then 4 and 7,861,324.25 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 31,445,297
-1 31,445,297
Keep dividing by the next highest number until you cannot divide anymore.

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

113831511931,0791,9632,50912,53316,01929,143162,929208,247378,8592,418,86931,445,297
-1-13-83-151-193-1,079-1,963-2,509-12,533-16,019-29,143-162,929-208,247-378,859-2,418,869-31,445,297

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,445,297:


Ask a Question