Q: What are the factor combinations of the number 53,401,249?

 A:
Positive:   1 x 5340124911 x 485465937 x 1443277179 x 298331407 x 131207733 x 728531969 x 271216623 x 8063
Negative: -1 x -53401249-11 x -4854659-37 x -1443277-179 x -298331-407 x -131207-733 x -72853-1969 x -27121-6623 x -8063


How do I find the factor combinations of the number 53,401,249?

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 53,401,249, 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 53,401,249
-1 -53,401,249

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 53,401,249.

Example:
1 x 53,401,249 = 53,401,249
and
-1 x -53,401,249 = 53,401,249
Notice both answers equal 53,401,249

With that explanation out of the way, let's continue. Next, we take the number 53,401,249 and divide it by 2:

53,401,249 ÷ 2 = 26,700,624.5

If the quotient is a whole number, then 2 and 26,700,624.5 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 53,401,249
-1 -53,401,249

Now, we try dividing 53,401,249 by 3:

53,401,249 ÷ 3 = 17,800,416.3333

If the quotient is a whole number, then 3 and 17,800,416.3333 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 53,401,249
-1 -53,401,249

Let's try dividing by 4:

53,401,249 ÷ 4 = 13,350,312.25

If the quotient is a whole number, then 4 and 13,350,312.25 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 53,401,249
-1 53,401,249
Keep dividing by the next highest number until you cannot divide anymore.

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

111371794077331,9696,6238,06327,12172,853131,207298,3311,443,2774,854,65953,401,249
-1-11-37-179-407-733-1,969-6,623-8,063-27,121-72,853-131,207-298,331-1,443,277-4,854,659-53,401,249

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