Q: What are the factor combinations of the number 5,026,355?

 A:
Positive:   1 x 50263555 x 100527119 x 26454595 x 52909157 x 32015337 x 14915785 x 64031685 x 2983
Negative: -1 x -5026355-5 x -1005271-19 x -264545-95 x -52909-157 x -32015-337 x -14915-785 x -6403-1685 x -2983


How do I find the factor combinations of the number 5,026,355?

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 5,026,355, 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 5,026,355
-1 -5,026,355

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 5,026,355.

Example:
1 x 5,026,355 = 5,026,355
and
-1 x -5,026,355 = 5,026,355
Notice both answers equal 5,026,355

With that explanation out of the way, let's continue. Next, we take the number 5,026,355 and divide it by 2:

5,026,355 ÷ 2 = 2,513,177.5

If the quotient is a whole number, then 2 and 2,513,177.5 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 5,026,355
-1 -5,026,355

Now, we try dividing 5,026,355 by 3:

5,026,355 ÷ 3 = 1,675,451.6667

If the quotient is a whole number, then 3 and 1,675,451.6667 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 5,026,355
-1 -5,026,355

Let's try dividing by 4:

5,026,355 ÷ 4 = 1,256,588.75

If the quotient is a whole number, then 4 and 1,256,588.75 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 5,026,355
-1 5,026,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951573377851,6852,9836,40314,91532,01552,909264,5451,005,2715,026,355
-1-5-19-95-157-337-785-1,685-2,983-6,403-14,915-32,015-52,909-264,545-1,005,271-5,026,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,026,355:


Ask a Question