Q: What are the factor combinations of the number 351,738,625?

 A:
Positive:   1 x 3517386255 x 703477257 x 5024837525 x 1406954535 x 10049675125 x 2813909175 x 2009935875 x 401987
Negative: -1 x -351738625-5 x -70347725-7 x -50248375-25 x -14069545-35 x -10049675-125 x -2813909-175 x -2009935-875 x -401987


How do I find the factor combinations of the number 351,738,625?

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 351,738,625, 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.

1 351,738,625
-1 -351,738,625

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 351,738,625.

Example:
1 x 351,738,625 = 351,738,625
and
-1 x -351,738,625 = 351,738,625
Notice both answers equal 351,738,625

With that explanation out of the way, let's continue. Next, we take the number 351,738,625 and divide it by 2:

351,738,625 ÷ 2 = 175,869,312.5

If the quotient is a whole number, then 2 and 175,869,312.5 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:

1 351,738,625
-1 -351,738,625

Now, we try dividing 351,738,625 by 3:

351,738,625 ÷ 3 = 117,246,208.3333

If the quotient is a whole number, then 3 and 117,246,208.3333 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:

1 351,738,625
-1 -351,738,625

Let's try dividing by 4:

351,738,625 ÷ 4 = 87,934,656.25

If the quotient is a whole number, then 4 and 87,934,656.25 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:

1 351,738,625
-1 351,738,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875401,9872,009,9352,813,90910,049,67514,069,54550,248,37570,347,725351,738,625
-1-5-7-25-35-125-175-875-401,987-2,009,935-2,813,909-10,049,675-14,069,545-50,248,375-70,347,725-351,738,625

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