Q: What are the factor combinations of the number 375,501,415?

 A:
Positive:   1 x 3755014155 x 7510028373 x 5143855257 x 1461095365 x 10287711285 x 2922194003 x 9380518761 x 20015
Negative: -1 x -375501415-5 x -75100283-73 x -5143855-257 x -1461095-365 x -1028771-1285 x -292219-4003 x -93805-18761 x -20015


How do I find the factor combinations of the number 375,501,415?

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 375,501,415, 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.

1 375,501,415
-1 -375,501,415

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 375,501,415.

Example:
1 x 375,501,415 = 375,501,415
and
-1 x -375,501,415 = 375,501,415
Notice both answers equal 375,501,415

With that explanation out of the way, let's continue. Next, we take the number 375,501,415 and divide it by 2:

375,501,415 ÷ 2 = 187,750,707.5

If the quotient is a whole number, then 2 and 187,750,707.5 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:

1 375,501,415
-1 -375,501,415

Now, we try dividing 375,501,415 by 3:

375,501,415 ÷ 3 = 125,167,138.3333

If the quotient is a whole number, then 3 and 125,167,138.3333 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:

1 375,501,415
-1 -375,501,415

Let's try dividing by 4:

375,501,415 ÷ 4 = 93,875,353.75

If the quotient is a whole number, then 4 and 93,875,353.75 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:

1 375,501,415
-1 375,501,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15732573651,2854,00318,76120,01593,805292,2191,028,7711,461,0955,143,85575,100,283375,501,415
-1-5-73-257-365-1,285-4,003-18,761-20,015-93,805-292,219-1,028,771-1,461,095-5,143,855-75,100,283-375,501,415

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