Q: What are the factor combinations of the number 53,425,031?

 A:
Positive:   1 x 5342503111 x 485682159 x 905509263 x 203137313 x 170687649 x 823192893 x 184673443 x 15517
Negative: -1 x -53425031-11 x -4856821-59 x -905509-263 x -203137-313 x -170687-649 x -82319-2893 x -18467-3443 x -15517


How do I find the factor combinations of the number 53,425,031?

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 53,425,031, 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 53,425,031
-1 -53,425,031

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 53,425,031.

Example:
1 x 53,425,031 = 53,425,031
and
-1 x -53,425,031 = 53,425,031
Notice both answers equal 53,425,031

With that explanation out of the way, let's continue. Next, we take the number 53,425,031 and divide it by 2:

53,425,031 ÷ 2 = 26,712,515.5

If the quotient is a whole number, then 2 and 26,712,515.5 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 53,425,031
-1 -53,425,031

Now, we try dividing 53,425,031 by 3:

53,425,031 ÷ 3 = 17,808,343.6667

If the quotient is a whole number, then 3 and 17,808,343.6667 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 53,425,031
-1 -53,425,031

Let's try dividing by 4:

53,425,031 ÷ 4 = 13,356,257.75

If the quotient is a whole number, then 4 and 13,356,257.75 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 53,425,031
-1 53,425,031
Keep dividing by the next highest number until you cannot divide anymore.

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

111592633136492,8933,44315,51718,46782,319170,687203,137905,5094,856,82153,425,031
-1-11-59-263-313-649-2,893-3,443-15,517-18,467-82,319-170,687-203,137-905,509-4,856,821-53,425,031

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