Q: What are the factor combinations of the number 350,357,045?

 A:
Positive:   1 x 3503570455 x 7007140923 x 1523291559 x 5938255115 x 3046583295 x 11876511357 x 2581856785 x 51637
Negative: -1 x -350357045-5 x -70071409-23 x -15232915-59 x -5938255-115 x -3046583-295 x -1187651-1357 x -258185-6785 x -51637


How do I find the factor combinations of the number 350,357,045?

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 350,357,045, 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.

1 350,357,045
-1 -350,357,045

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 350,357,045.

Example:
1 x 350,357,045 = 350,357,045
and
-1 x -350,357,045 = 350,357,045
Notice both answers equal 350,357,045

With that explanation out of the way, let's continue. Next, we take the number 350,357,045 and divide it by 2:

350,357,045 ÷ 2 = 175,178,522.5

If the quotient is a whole number, then 2 and 175,178,522.5 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:

1 350,357,045
-1 -350,357,045

Now, we try dividing 350,357,045 by 3:

350,357,045 ÷ 3 = 116,785,681.6667

If the quotient is a whole number, then 3 and 116,785,681.6667 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:

1 350,357,045
-1 -350,357,045

Let's try dividing by 4:

350,357,045 ÷ 4 = 87,589,261.25

If the quotient is a whole number, then 4 and 87,589,261.25 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:

1 350,357,045
-1 350,357,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1523591152951,3576,78551,637258,1851,187,6513,046,5835,938,25515,232,91570,071,409350,357,045
-1-5-23-59-115-295-1,357-6,785-51,637-258,185-1,187,651-3,046,583-5,938,255-15,232,915-70,071,409-350,357,045

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