Q: What are the factor combinations of the number 139,158,679?

 A:
Positive:   1 x 13915867911 x 1265078919 x 7324141209 x 665831811 x 171589821 x 1694998921 x 155999031 x 15409
Negative: -1 x -139158679-11 x -12650789-19 x -7324141-209 x -665831-811 x -171589-821 x -169499-8921 x -15599-9031 x -15409


How do I find the factor combinations of the number 139,158,679?

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 139,158,679, 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.

1 139,158,679
-1 -139,158,679

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 139,158,679.

Example:
1 x 139,158,679 = 139,158,679
and
-1 x -139,158,679 = 139,158,679
Notice both answers equal 139,158,679

With that explanation out of the way, let's continue. Next, we take the number 139,158,679 and divide it by 2:

139,158,679 ÷ 2 = 69,579,339.5

If the quotient is a whole number, then 2 and 69,579,339.5 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:

1 139,158,679
-1 -139,158,679

Now, we try dividing 139,158,679 by 3:

139,158,679 ÷ 3 = 46,386,226.3333

If the quotient is a whole number, then 3 and 46,386,226.3333 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:

1 139,158,679
-1 -139,158,679

Let's try dividing by 4:

139,158,679 ÷ 4 = 34,789,669.75

If the quotient is a whole number, then 4 and 34,789,669.75 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:

1 139,158,679
-1 139,158,679
Keep dividing by the next highest number until you cannot divide anymore.

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

111192098118218,9219,03115,40915,599169,499171,589665,8317,324,14112,650,789139,158,679
-1-11-19-209-811-821-8,921-9,031-15,409-15,599-169,499-171,589-665,831-7,324,141-12,650,789-139,158,679

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