Q: What are the factor combinations of the number 53,467,225?

 A:
Positive:   1 x 534672255 x 106934457 x 763817525 x 213868935 x 1527635109 x 490525175 x 305527545 x 98105763 x 700752725 x 196212803 x 190753815 x 14015
Negative: -1 x -53467225-5 x -10693445-7 x -7638175-25 x -2138689-35 x -1527635-109 x -490525-175 x -305527-545 x -98105-763 x -70075-2725 x -19621-2803 x -19075-3815 x -14015


How do I find the factor combinations of the number 53,467,225?

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 53,467,225, 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 53,467,225
-1 -53,467,225

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 53,467,225.

Example:
1 x 53,467,225 = 53,467,225
and
-1 x -53,467,225 = 53,467,225
Notice both answers equal 53,467,225

With that explanation out of the way, let's continue. Next, we take the number 53,467,225 and divide it by 2:

53,467,225 ÷ 2 = 26,733,612.5

If the quotient is a whole number, then 2 and 26,733,612.5 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 53,467,225
-1 -53,467,225

Now, we try dividing 53,467,225 by 3:

53,467,225 ÷ 3 = 17,822,408.3333

If the quotient is a whole number, then 3 and 17,822,408.3333 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 53,467,225
-1 -53,467,225

Let's try dividing by 4:

53,467,225 ÷ 4 = 13,366,806.25

If the quotient is a whole number, then 4 and 13,366,806.25 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 53,467,225
-1 53,467,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351091755457632,7252,8033,81514,01519,07519,62170,07598,105305,527490,5251,527,6352,138,6897,638,17510,693,44553,467,225
-1-5-7-25-35-109-175-545-763-2,725-2,803-3,815-14,015-19,075-19,621-70,075-98,105-305,527-490,525-1,527,635-2,138,689-7,638,175-10,693,445-53,467,225

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