Q: What are the factor combinations of the number 20,435,155?

 A:
Positive:   1 x 204351555 x 408703113 x 157193523 x 88848565 x 314387115 x 177697299 x 683451495 x 13669
Negative: -1 x -20435155-5 x -4087031-13 x -1571935-23 x -888485-65 x -314387-115 x -177697-299 x -68345-1495 x -13669


How do I find the factor combinations of the number 20,435,155?

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 20,435,155, 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 20,435,155
-1 -20,435,155

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 20,435,155.

Example:
1 x 20,435,155 = 20,435,155
and
-1 x -20,435,155 = 20,435,155
Notice both answers equal 20,435,155

With that explanation out of the way, let's continue. Next, we take the number 20,435,155 and divide it by 2:

20,435,155 ÷ 2 = 10,217,577.5

If the quotient is a whole number, then 2 and 10,217,577.5 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 20,435,155
-1 -20,435,155

Now, we try dividing 20,435,155 by 3:

20,435,155 ÷ 3 = 6,811,718.3333

If the quotient is a whole number, then 3 and 6,811,718.3333 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 20,435,155
-1 -20,435,155

Let's try dividing by 4:

20,435,155 ÷ 4 = 5,108,788.75

If the quotient is a whole number, then 4 and 5,108,788.75 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 20,435,155
-1 20,435,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,49513,66968,345177,697314,387888,4851,571,9354,087,03120,435,155
-1-5-13-23-65-115-299-1,495-13,669-68,345-177,697-314,387-888,485-1,571,935-4,087,031-20,435,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,435,155:


Ask a Question