Q: What are the factor combinations of the number 15,431,143?

 A:
Positive:   1 x 154311437 x 220444913 x 118701191 x 169573151 x 1021931057 x 145991123 x 137411963 x 7861
Negative: -1 x -15431143-7 x -2204449-13 x -1187011-91 x -169573-151 x -102193-1057 x -14599-1123 x -13741-1963 x -7861


How do I find the factor combinations of the number 15,431,143?

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 15,431,143, 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 15,431,143
-1 -15,431,143

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 15,431,143.

Example:
1 x 15,431,143 = 15,431,143
and
-1 x -15,431,143 = 15,431,143
Notice both answers equal 15,431,143

With that explanation out of the way, let's continue. Next, we take the number 15,431,143 and divide it by 2:

15,431,143 ÷ 2 = 7,715,571.5

If the quotient is a whole number, then 2 and 7,715,571.5 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 15,431,143
-1 -15,431,143

Now, we try dividing 15,431,143 by 3:

15,431,143 ÷ 3 = 5,143,714.3333

If the quotient is a whole number, then 3 and 5,143,714.3333 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 15,431,143
-1 -15,431,143

Let's try dividing by 4:

15,431,143 ÷ 4 = 3,857,785.75

If the quotient is a whole number, then 4 and 3,857,785.75 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 15,431,143
-1 15,431,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911511,0571,1231,9637,86113,74114,599102,193169,5731,187,0112,204,44915,431,143
-1-7-13-91-151-1,057-1,123-1,963-7,861-13,741-14,599-102,193-169,573-1,187,011-2,204,449-15,431,143

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,431,143:


Ask a Question