Q: What are the factor combinations of the number 75,407,159?

 A:
Positive:   1 x 7540715931 x 243248941 x 183919979 x 954521751 x 1004091271 x 593292449 x 307913239 x 23281
Negative: -1 x -75407159-31 x -2432489-41 x -1839199-79 x -954521-751 x -100409-1271 x -59329-2449 x -30791-3239 x -23281


How do I find the factor combinations of the number 75,407,159?

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 75,407,159, 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 75,407,159
-1 -75,407,159

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 75,407,159.

Example:
1 x 75,407,159 = 75,407,159
and
-1 x -75,407,159 = 75,407,159
Notice both answers equal 75,407,159

With that explanation out of the way, let's continue. Next, we take the number 75,407,159 and divide it by 2:

75,407,159 ÷ 2 = 37,703,579.5

If the quotient is a whole number, then 2 and 37,703,579.5 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 75,407,159
-1 -75,407,159

Now, we try dividing 75,407,159 by 3:

75,407,159 ÷ 3 = 25,135,719.6667

If the quotient is a whole number, then 3 and 25,135,719.6667 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 75,407,159
-1 -75,407,159

Let's try dividing by 4:

75,407,159 ÷ 4 = 18,851,789.75

If the quotient is a whole number, then 4 and 18,851,789.75 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 75,407,159
-1 75,407,159
Keep dividing by the next highest number until you cannot divide anymore.

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

13141797511,2712,4493,23923,28130,79159,329100,409954,5211,839,1992,432,48975,407,159
-1-31-41-79-751-1,271-2,449-3,239-23,281-30,791-59,329-100,409-954,521-1,839,199-2,432,489-75,407,159

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