Q: What are the factor combinations of the number 112,000,421?

 A:
Positive:   1 x 11200042113 x 861541719 x 5894759247 x 453443599 x 186979757 x 1479537787 x 143839841 x 11381
Negative: -1 x -112000421-13 x -8615417-19 x -5894759-247 x -453443-599 x -186979-757 x -147953-7787 x -14383-9841 x -11381


How do I find the factor combinations of the number 112,000,421?

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 112,000,421, 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.

1 112,000,421
-1 -112,000,421

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 112,000,421.

Example:
1 x 112,000,421 = 112,000,421
and
-1 x -112,000,421 = 112,000,421
Notice both answers equal 112,000,421

With that explanation out of the way, let's continue. Next, we take the number 112,000,421 and divide it by 2:

112,000,421 ÷ 2 = 56,000,210.5

If the quotient is a whole number, then 2 and 56,000,210.5 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:

1 112,000,421
-1 -112,000,421

Now, we try dividing 112,000,421 by 3:

112,000,421 ÷ 3 = 37,333,473.6667

If the quotient is a whole number, then 3 and 37,333,473.6667 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:

1 112,000,421
-1 -112,000,421

Let's try dividing by 4:

112,000,421 ÷ 4 = 28,000,105.25

If the quotient is a whole number, then 4 and 28,000,105.25 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:

1 112,000,421
-1 112,000,421
Keep dividing by the next highest number until you cannot divide anymore.

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

113192475997577,7879,84111,38114,383147,953186,979453,4435,894,7598,615,417112,000,421
-1-13-19-247-599-757-7,787-9,841-11,381-14,383-147,953-186,979-453,443-5,894,759-8,615,417-112,000,421

More Examples

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