Q: What are the factor combinations of the number 143,926,825?

 A:
Positive:   1 x 1439268255 x 287853657 x 2056097525 x 575707335 x 4112195175 x 822439863 x 166775953 x 1510254315 x 333554765 x 302056041 x 238256671 x 21575
Negative: -1 x -143926825-5 x -28785365-7 x -20560975-25 x -5757073-35 x -4112195-175 x -822439-863 x -166775-953 x -151025-4315 x -33355-4765 x -30205-6041 x -23825-6671 x -21575


How do I find the factor combinations of the number 143,926,825?

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 143,926,825, 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.

1 143,926,825
-1 -143,926,825

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 143,926,825.

Example:
1 x 143,926,825 = 143,926,825
and
-1 x -143,926,825 = 143,926,825
Notice both answers equal 143,926,825

With that explanation out of the way, let's continue. Next, we take the number 143,926,825 and divide it by 2:

143,926,825 ÷ 2 = 71,963,412.5

If the quotient is a whole number, then 2 and 71,963,412.5 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:

1 143,926,825
-1 -143,926,825

Now, we try dividing 143,926,825 by 3:

143,926,825 ÷ 3 = 47,975,608.3333

If the quotient is a whole number, then 3 and 47,975,608.3333 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:

1 143,926,825
-1 -143,926,825

Let's try dividing by 4:

143,926,825 ÷ 4 = 35,981,706.25

If the quotient is a whole number, then 4 and 35,981,706.25 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:

1 143,926,825
-1 143,926,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351758639534,3154,7656,0416,67121,57523,82530,20533,355151,025166,775822,4394,112,1955,757,07320,560,97528,785,365143,926,825
-1-5-7-25-35-175-863-953-4,315-4,765-6,041-6,671-21,575-23,825-30,205-33,355-151,025-166,775-822,439-4,112,195-5,757,073-20,560,975-28,785,365-143,926,825

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