Q: What are the factor combinations of the number 53,425,385?

 A:
Positive:   1 x 534253855 x 1068507713 x 410964559 x 90551565 x 821929295 x 181103767 x 696553835 x 13931
Negative: -1 x -53425385-5 x -10685077-13 x -4109645-59 x -905515-65 x -821929-295 x -181103-767 x -69655-3835 x -13931


How do I find the factor combinations of the number 53,425,385?

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 53,425,385, 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 53,425,385
-1 -53,425,385

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 53,425,385.

Example:
1 x 53,425,385 = 53,425,385
and
-1 x -53,425,385 = 53,425,385
Notice both answers equal 53,425,385

With that explanation out of the way, let's continue. Next, we take the number 53,425,385 and divide it by 2:

53,425,385 ÷ 2 = 26,712,692.5

If the quotient is a whole number, then 2 and 26,712,692.5 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 53,425,385
-1 -53,425,385

Now, we try dividing 53,425,385 by 3:

53,425,385 ÷ 3 = 17,808,461.6667

If the quotient is a whole number, then 3 and 17,808,461.6667 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 53,425,385
-1 -53,425,385

Let's try dividing by 4:

53,425,385 ÷ 4 = 13,356,346.25

If the quotient is a whole number, then 4 and 13,356,346.25 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 53,425,385
-1 53,425,385
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652957673,83513,93169,655181,103821,929905,5154,109,64510,685,07753,425,385
-1-5-13-59-65-295-767-3,835-13,931-69,655-181,103-821,929-905,515-4,109,645-10,685,077-53,425,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 53,425,385:


Ask a Question