Q: What are the factor combinations of the number 20,545,315?

 A:
Positive:   1 x 205453155 x 41090637 x 293504535 x 587009281 x 731151405 x 146231967 x 104452089 x 9835
Negative: -1 x -20545315-5 x -4109063-7 x -2935045-35 x -587009-281 x -73115-1405 x -14623-1967 x -10445-2089 x -9835


How do I find the factor combinations of the number 20,545,315?

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 20,545,315, 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 20,545,315
-1 -20,545,315

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 20,545,315.

Example:
1 x 20,545,315 = 20,545,315
and
-1 x -20,545,315 = 20,545,315
Notice both answers equal 20,545,315

With that explanation out of the way, let's continue. Next, we take the number 20,545,315 and divide it by 2:

20,545,315 ÷ 2 = 10,272,657.5

If the quotient is a whole number, then 2 and 10,272,657.5 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 20,545,315
-1 -20,545,315

Now, we try dividing 20,545,315 by 3:

20,545,315 ÷ 3 = 6,848,438.3333

If the quotient is a whole number, then 3 and 6,848,438.3333 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 20,545,315
-1 -20,545,315

Let's try dividing by 4:

20,545,315 ÷ 4 = 5,136,328.75

If the quotient is a whole number, then 4 and 5,136,328.75 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 20,545,315
-1 20,545,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157352811,4051,9672,0899,83510,44514,62373,115587,0092,935,0454,109,06320,545,315
-1-5-7-35-281-1,405-1,967-2,089-9,835-10,445-14,623-73,115-587,009-2,935,045-4,109,063-20,545,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,545,315:


Ask a Question