Q: What are the factor combinations of the number 375,701,425?

 A:
Positive:   1 x 3757014255 x 7514028511 x 3415467525 x 1502805755 x 6830935275 x 1366187
Negative: -1 x -375701425-5 x -75140285-11 x -34154675-25 x -15028057-55 x -6830935-275 x -1366187


How do I find the factor combinations of the number 375,701,425?

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 375,701,425, 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.

1 375,701,425
-1 -375,701,425

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 375,701,425.

Example:
1 x 375,701,425 = 375,701,425
and
-1 x -375,701,425 = 375,701,425
Notice both answers equal 375,701,425

With that explanation out of the way, let's continue. Next, we take the number 375,701,425 and divide it by 2:

375,701,425 ÷ 2 = 187,850,712.5

If the quotient is a whole number, then 2 and 187,850,712.5 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:

1 375,701,425
-1 -375,701,425

Now, we try dividing 375,701,425 by 3:

375,701,425 ÷ 3 = 125,233,808.3333

If the quotient is a whole number, then 3 and 125,233,808.3333 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:

1 375,701,425
-1 -375,701,425

Let's try dividing by 4:

375,701,425 ÷ 4 = 93,925,356.25

If the quotient is a whole number, then 4 and 93,925,356.25 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:

1 375,701,425
-1 375,701,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552751,366,1876,830,93515,028,05734,154,67575,140,285375,701,425
-1-5-11-25-55-275-1,366,187-6,830,935-15,028,057-34,154,675-75,140,285-375,701,425

More Examples

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