Q: What are the factor combinations of the number 310,000,445?

 A:
Positive:   1 x 3100004455 x 6200008953 x 5849065265 x 1169813719 x 4311551627 x 1905353595 x 862318135 x 38107
Negative: -1 x -310000445-5 x -62000089-53 x -5849065-265 x -1169813-719 x -431155-1627 x -190535-3595 x -86231-8135 x -38107


How do I find the factor combinations of the number 310,000,445?

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 310,000,445, 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.

1 310,000,445
-1 -310,000,445

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 310,000,445.

Example:
1 x 310,000,445 = 310,000,445
and
-1 x -310,000,445 = 310,000,445
Notice both answers equal 310,000,445

With that explanation out of the way, let's continue. Next, we take the number 310,000,445 and divide it by 2:

310,000,445 ÷ 2 = 155,000,222.5

If the quotient is a whole number, then 2 and 155,000,222.5 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:

1 310,000,445
-1 -310,000,445

Now, we try dividing 310,000,445 by 3:

310,000,445 ÷ 3 = 103,333,481.6667

If the quotient is a whole number, then 3 and 103,333,481.6667 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:

1 310,000,445
-1 -310,000,445

Let's try dividing by 4:

310,000,445 ÷ 4 = 77,500,111.25

If the quotient is a whole number, then 4 and 77,500,111.25 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:

1 310,000,445
-1 310,000,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15532657191,6273,5958,13538,10786,231190,535431,1551,169,8135,849,06562,000,089310,000,445
-1-5-53-265-719-1,627-3,595-8,135-38,107-86,231-190,535-431,155-1,169,813-5,849,065-62,000,089-310,000,445

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