Q: What are the factor combinations of the number 103,124,147?

 A:
Positive:   1 x 1031241477 x 14732021137 x 752731191 x 539917563 x 183169959 x 1075331337 x 771313941 x 26167
Negative: -1 x -103124147-7 x -14732021-137 x -752731-191 x -539917-563 x -183169-959 x -107533-1337 x -77131-3941 x -26167


How do I find the factor combinations of the number 103,124,147?

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 103,124,147, 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.

1 103,124,147
-1 -103,124,147

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 103,124,147.

Example:
1 x 103,124,147 = 103,124,147
and
-1 x -103,124,147 = 103,124,147
Notice both answers equal 103,124,147

With that explanation out of the way, let's continue. Next, we take the number 103,124,147 and divide it by 2:

103,124,147 ÷ 2 = 51,562,073.5

If the quotient is a whole number, then 2 and 51,562,073.5 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:

1 103,124,147
-1 -103,124,147

Now, we try dividing 103,124,147 by 3:

103,124,147 ÷ 3 = 34,374,715.6667

If the quotient is a whole number, then 3 and 34,374,715.6667 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:

1 103,124,147
-1 -103,124,147

Let's try dividing by 4:

103,124,147 ÷ 4 = 25,781,036.75

If the quotient is a whole number, then 4 and 25,781,036.75 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:

1 103,124,147
-1 103,124,147
Keep dividing by the next highest number until you cannot divide anymore.

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

171371915639591,3373,94126,16777,131107,533183,169539,917752,73114,732,021103,124,147
-1-7-137-191-563-959-1,337-3,941-26,167-77,131-107,533-183,169-539,917-752,731-14,732,021-103,124,147

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 103,124,147:


Ask a Question