Q: What are the factor combinations of the number 76,142,789?

 A:
Positive:   1 x 7614278931 x 245621983 x 917383101 x 753889293 x 2598732573 x 295933131 x 243198383 x 9083
Negative: -1 x -76142789-31 x -2456219-83 x -917383-101 x -753889-293 x -259873-2573 x -29593-3131 x -24319-8383 x -9083


How do I find the factor combinations of the number 76,142,789?

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 76,142,789, 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 76,142,789
-1 -76,142,789

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 76,142,789.

Example:
1 x 76,142,789 = 76,142,789
and
-1 x -76,142,789 = 76,142,789
Notice both answers equal 76,142,789

With that explanation out of the way, let's continue. Next, we take the number 76,142,789 and divide it by 2:

76,142,789 ÷ 2 = 38,071,394.5

If the quotient is a whole number, then 2 and 38,071,394.5 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 76,142,789
-1 -76,142,789

Now, we try dividing 76,142,789 by 3:

76,142,789 ÷ 3 = 25,380,929.6667

If the quotient is a whole number, then 3 and 25,380,929.6667 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 76,142,789
-1 -76,142,789

Let's try dividing by 4:

76,142,789 ÷ 4 = 19,035,697.25

If the quotient is a whole number, then 4 and 19,035,697.25 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 76,142,789
-1 76,142,789
Keep dividing by the next highest number until you cannot divide anymore.

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

131831012932,5733,1318,3839,08324,31929,593259,873753,889917,3832,456,21976,142,789
-1-31-83-101-293-2,573-3,131-8,383-9,083-24,319-29,593-259,873-753,889-917,383-2,456,219-76,142,789

More Examples

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