Q: What are the factor combinations of the number 375,105,463?

 A:
Positive:   1 x 37510546367 x 559858973 x 5138431271 x 1384153283 x 13254614891 x 7669318157 x 2065918961 x 19783
Negative: -1 x -375105463-67 x -5598589-73 x -5138431-271 x -1384153-283 x -1325461-4891 x -76693-18157 x -20659-18961 x -19783


How do I find the factor combinations of the number 375,105,463?

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 375,105,463, 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.

1 375,105,463
-1 -375,105,463

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 375,105,463.

Example:
1 x 375,105,463 = 375,105,463
and
-1 x -375,105,463 = 375,105,463
Notice both answers equal 375,105,463

With that explanation out of the way, let's continue. Next, we take the number 375,105,463 and divide it by 2:

375,105,463 ÷ 2 = 187,552,731.5

If the quotient is a whole number, then 2 and 187,552,731.5 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:

1 375,105,463
-1 -375,105,463

Now, we try dividing 375,105,463 by 3:

375,105,463 ÷ 3 = 125,035,154.3333

If the quotient is a whole number, then 3 and 125,035,154.3333 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:

1 375,105,463
-1 -375,105,463

Let's try dividing by 4:

375,105,463 ÷ 4 = 93,776,365.75

If the quotient is a whole number, then 4 and 93,776,365.75 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:

1 375,105,463
-1 375,105,463
Keep dividing by the next highest number until you cannot divide anymore.

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

167732712834,89118,15718,96119,78320,65976,6931,325,4611,384,1535,138,4315,598,589375,105,463
-1-67-73-271-283-4,891-18,157-18,961-19,783-20,659-76,693-1,325,461-1,384,153-5,138,431-5,598,589-375,105,463

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