Q: What are the factor combinations of the number 60,564,421?

 A:
Positive:   1 x 6056442117 x 356261331 x 195369141 x 1477181527 x 114923697 x 868931271 x 476512803 x 21607
Negative: -1 x -60564421-17 x -3562613-31 x -1953691-41 x -1477181-527 x -114923-697 x -86893-1271 x -47651-2803 x -21607


How do I find the factor combinations of the number 60,564,421?

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 60,564,421, 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 60,564,421
-1 -60,564,421

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 60,564,421.

Example:
1 x 60,564,421 = 60,564,421
and
-1 x -60,564,421 = 60,564,421
Notice both answers equal 60,564,421

With that explanation out of the way, let's continue. Next, we take the number 60,564,421 and divide it by 2:

60,564,421 ÷ 2 = 30,282,210.5

If the quotient is a whole number, then 2 and 30,282,210.5 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 60,564,421
-1 -60,564,421

Now, we try dividing 60,564,421 by 3:

60,564,421 ÷ 3 = 20,188,140.3333

If the quotient is a whole number, then 3 and 20,188,140.3333 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 60,564,421
-1 -60,564,421

Let's try dividing by 4:

60,564,421 ÷ 4 = 15,141,105.25

If the quotient is a whole number, then 4 and 15,141,105.25 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 60,564,421
-1 60,564,421
Keep dividing by the next highest number until you cannot divide anymore.

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

11731415276971,2712,80321,60747,65186,893114,9231,477,1811,953,6913,562,61360,564,421
-1-17-31-41-527-697-1,271-2,803-21,607-47,651-86,893-114,923-1,477,181-1,953,691-3,562,613-60,564,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 60,564,421:


Ask a Question