Q: What are the factor combinations of the number 157,608,425?

 A:
Positive:   1 x 1576084255 x 3152168513 x 1212372525 x 630433765 x 2424745191 x 825175325 x 484949955 x 1650352483 x 634752539 x 620754775 x 3300712415 x 12695
Negative: -1 x -157608425-5 x -31521685-13 x -12123725-25 x -6304337-65 x -2424745-191 x -825175-325 x -484949-955 x -165035-2483 x -63475-2539 x -62075-4775 x -33007-12415 x -12695


How do I find the factor combinations of the number 157,608,425?

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 157,608,425, 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.

1 157,608,425
-1 -157,608,425

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 157,608,425.

Example:
1 x 157,608,425 = 157,608,425
and
-1 x -157,608,425 = 157,608,425
Notice both answers equal 157,608,425

With that explanation out of the way, let's continue. Next, we take the number 157,608,425 and divide it by 2:

157,608,425 ÷ 2 = 78,804,212.5

If the quotient is a whole number, then 2 and 78,804,212.5 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:

1 157,608,425
-1 -157,608,425

Now, we try dividing 157,608,425 by 3:

157,608,425 ÷ 3 = 52,536,141.6667

If the quotient is a whole number, then 3 and 52,536,141.6667 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:

1 157,608,425
-1 -157,608,425

Let's try dividing by 4:

157,608,425 ÷ 4 = 39,402,106.25

If the quotient is a whole number, then 4 and 39,402,106.25 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:

1 157,608,425
-1 157,608,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651913259552,4832,5394,77512,41512,69533,00762,07563,475165,035484,949825,1752,424,7456,304,33712,123,72531,521,685157,608,425
-1-5-13-25-65-191-325-955-2,483-2,539-4,775-12,415-12,695-33,007-62,075-63,475-165,035-484,949-825,175-2,424,745-6,304,337-12,123,725-31,521,685-157,608,425

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