Q: What are the factor combinations of the number 351,204,125?

 A:
Positive:   1 x 3512041255 x 7024082525 x 1404816583 x 4231375125 x 2809633415 x 8462752075 x 16925510375 x 33851
Negative: -1 x -351204125-5 x -70240825-25 x -14048165-83 x -4231375-125 x -2809633-415 x -846275-2075 x -169255-10375 x -33851


How do I find the factor combinations of the number 351,204,125?

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 351,204,125, 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.

1 351,204,125
-1 -351,204,125

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 351,204,125.

Example:
1 x 351,204,125 = 351,204,125
and
-1 x -351,204,125 = 351,204,125
Notice both answers equal 351,204,125

With that explanation out of the way, let's continue. Next, we take the number 351,204,125 and divide it by 2:

351,204,125 ÷ 2 = 175,602,062.5

If the quotient is a whole number, then 2 and 175,602,062.5 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:

1 351,204,125
-1 -351,204,125

Now, we try dividing 351,204,125 by 3:

351,204,125 ÷ 3 = 117,068,041.6667

If the quotient is a whole number, then 3 and 117,068,041.6667 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:

1 351,204,125
-1 -351,204,125

Let's try dividing by 4:

351,204,125 ÷ 4 = 87,801,031.25

If the quotient is a whole number, then 4 and 87,801,031.25 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:

1 351,204,125
-1 351,204,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831254152,07510,37533,851169,255846,2752,809,6334,231,37514,048,16570,240,825351,204,125
-1-5-25-83-125-415-2,075-10,375-33,851-169,255-846,275-2,809,633-4,231,375-14,048,165-70,240,825-351,204,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 351,204,125:


Ask a Question