Q: What are the factor combinations of the number 53,324,245?

 A:
Positive:   1 x 533242455 x 1066484913 x 410186565 x 820373313 x 1703651565 x 340732621 x 203454069 x 13105
Negative: -1 x -53324245-5 x -10664849-13 x -4101865-65 x -820373-313 x -170365-1565 x -34073-2621 x -20345-4069 x -13105


How do I find the factor combinations of the number 53,324,245?

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 53,324,245, 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 53,324,245
-1 -53,324,245

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 53,324,245.

Example:
1 x 53,324,245 = 53,324,245
and
-1 x -53,324,245 = 53,324,245
Notice both answers equal 53,324,245

With that explanation out of the way, let's continue. Next, we take the number 53,324,245 and divide it by 2:

53,324,245 ÷ 2 = 26,662,122.5

If the quotient is a whole number, then 2 and 26,662,122.5 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 53,324,245
-1 -53,324,245

Now, we try dividing 53,324,245 by 3:

53,324,245 ÷ 3 = 17,774,748.3333

If the quotient is a whole number, then 3 and 17,774,748.3333 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 53,324,245
-1 -53,324,245

Let's try dividing by 4:

53,324,245 ÷ 4 = 13,331,061.25

If the quotient is a whole number, then 4 and 13,331,061.25 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 53,324,245
-1 53,324,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653131,5652,6214,06913,10520,34534,073170,365820,3734,101,86510,664,84953,324,245
-1-5-13-65-313-1,565-2,621-4,069-13,105-20,345-34,073-170,365-820,373-4,101,865-10,664,849-53,324,245

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