Q: What are the factor combinations of the number 123,142,033?

 A:
Positive:   1 x 1231420337 x 1759171917 x 724364929 x 4246277119 x 1034807203 x 606611289 x 426097493 x 2497812023 x 608712099 x 586673451 x 356838381 x 14693
Negative: -1 x -123142033-7 x -17591719-17 x -7243649-29 x -4246277-119 x -1034807-203 x -606611-289 x -426097-493 x -249781-2023 x -60871-2099 x -58667-3451 x -35683-8381 x -14693


How do I find the factor combinations of the number 123,142,033?

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 123,142,033, 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.

1 123,142,033
-1 -123,142,033

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 123,142,033.

Example:
1 x 123,142,033 = 123,142,033
and
-1 x -123,142,033 = 123,142,033
Notice both answers equal 123,142,033

With that explanation out of the way, let's continue. Next, we take the number 123,142,033 and divide it by 2:

123,142,033 ÷ 2 = 61,571,016.5

If the quotient is a whole number, then 2 and 61,571,016.5 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:

1 123,142,033
-1 -123,142,033

Now, we try dividing 123,142,033 by 3:

123,142,033 ÷ 3 = 41,047,344.3333

If the quotient is a whole number, then 3 and 41,047,344.3333 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:

1 123,142,033
-1 -123,142,033

Let's try dividing by 4:

123,142,033 ÷ 4 = 30,785,508.25

If the quotient is a whole number, then 4 and 30,785,508.25 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:

1 123,142,033
-1 123,142,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192032894932,0232,0993,4518,38114,69335,68358,66760,871249,781426,097606,6111,034,8074,246,2777,243,64917,591,719123,142,033
-1-7-17-29-119-203-289-493-2,023-2,099-3,451-8,381-14,693-35,683-58,667-60,871-249,781-426,097-606,611-1,034,807-4,246,277-7,243,649-17,591,719-123,142,033

More Examples

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