Q: What are the factor combinations of the number 53,425,853?

 A:
Positive:   1 x 5342585313 x 410968119 x 281188773 x 731861247 x 216299949 x 562971387 x 385192963 x 18031
Negative: -1 x -53425853-13 x -4109681-19 x -2811887-73 x -731861-247 x -216299-949 x -56297-1387 x -38519-2963 x -18031


How do I find the factor combinations of the number 53,425,853?

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 53,425,853, 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 53,425,853
-1 -53,425,853

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 53,425,853.

Example:
1 x 53,425,853 = 53,425,853
and
-1 x -53,425,853 = 53,425,853
Notice both answers equal 53,425,853

With that explanation out of the way, let's continue. Next, we take the number 53,425,853 and divide it by 2:

53,425,853 ÷ 2 = 26,712,926.5

If the quotient is a whole number, then 2 and 26,712,926.5 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 53,425,853
-1 -53,425,853

Now, we try dividing 53,425,853 by 3:

53,425,853 ÷ 3 = 17,808,617.6667

If the quotient is a whole number, then 3 and 17,808,617.6667 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 53,425,853
-1 -53,425,853

Let's try dividing by 4:

53,425,853 ÷ 4 = 13,356,463.25

If the quotient is a whole number, then 4 and 13,356,463.25 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 53,425,853
-1 53,425,853
Keep dividing by the next highest number until you cannot divide anymore.

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

11319732479491,3872,96318,03138,51956,297216,299731,8612,811,8874,109,68153,425,853
-1-13-19-73-247-949-1,387-2,963-18,031-38,519-56,297-216,299-731,861-2,811,887-4,109,681-53,425,853

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