Q: What are the factor combinations of the number 15,705,155?

 A:
Positive:   1 x 157051555 x 31410311123 x 139852797 x 5615
Negative: -1 x -15705155-5 x -3141031-1123 x -13985-2797 x -5615


How do I find the factor combinations of the number 15,705,155?

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 15,705,155, 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 15,705,155
-1 -15,705,155

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 15,705,155.

Example:
1 x 15,705,155 = 15,705,155
and
-1 x -15,705,155 = 15,705,155
Notice both answers equal 15,705,155

With that explanation out of the way, let's continue. Next, we take the number 15,705,155 and divide it by 2:

15,705,155 ÷ 2 = 7,852,577.5

If the quotient is a whole number, then 2 and 7,852,577.5 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 15,705,155
-1 -15,705,155

Now, we try dividing 15,705,155 by 3:

15,705,155 ÷ 3 = 5,235,051.6667

If the quotient is a whole number, then 3 and 5,235,051.6667 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 15,705,155
-1 -15,705,155

Let's try dividing by 4:

15,705,155 ÷ 4 = 3,926,288.75

If the quotient is a whole number, then 4 and 3,926,288.75 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 15,705,155
-1 15,705,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151,1232,7975,61513,9853,141,03115,705,155
-1-5-1,123-2,797-5,615-13,985-3,141,031-15,705,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,705,155:


Ask a Question