Q: What are the factor combinations of the number 375,038,455?

 A:
Positive:   1 x 3750384555 x 7500769111 x 3409440555 x 6818881269 x 13941951345 x 2788392959 x 12674514795 x 25349
Negative: -1 x -375038455-5 x -75007691-11 x -34094405-55 x -6818881-269 x -1394195-1345 x -278839-2959 x -126745-14795 x -25349


How do I find the factor combinations of the number 375,038,455?

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 375,038,455, 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.

1 375,038,455
-1 -375,038,455

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 375,038,455.

Example:
1 x 375,038,455 = 375,038,455
and
-1 x -375,038,455 = 375,038,455
Notice both answers equal 375,038,455

With that explanation out of the way, let's continue. Next, we take the number 375,038,455 and divide it by 2:

375,038,455 ÷ 2 = 187,519,227.5

If the quotient is a whole number, then 2 and 187,519,227.5 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:

1 375,038,455
-1 -375,038,455

Now, we try dividing 375,038,455 by 3:

375,038,455 ÷ 3 = 125,012,818.3333

If the quotient is a whole number, then 3 and 125,012,818.3333 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:

1 375,038,455
-1 -375,038,455

Let's try dividing by 4:

375,038,455 ÷ 4 = 93,759,613.75

If the quotient is a whole number, then 4 and 93,759,613.75 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:

1 375,038,455
-1 375,038,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552691,3452,95914,79525,349126,745278,8391,394,1956,818,88134,094,40575,007,691375,038,455
-1-5-11-55-269-1,345-2,959-14,795-25,349-126,745-278,839-1,394,195-6,818,881-34,094,405-75,007,691-375,038,455

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