Q: What are the factor combinations of the number 42,002,233?

 A:
Positive:   1 x 420022337 x 600031913 x 323094167 x 62689983 x 50605191 x 461563469 x 89557581 x 72293871 x 482231079 x 389275561 x 75536097 x 6889
Negative: -1 x -42002233-7 x -6000319-13 x -3230941-67 x -626899-83 x -506051-91 x -461563-469 x -89557-581 x -72293-871 x -48223-1079 x -38927-5561 x -7553-6097 x -6889


How do I find the factor combinations of the number 42,002,233?

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 42,002,233, 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 42,002,233
-1 -42,002,233

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 42,002,233.

Example:
1 x 42,002,233 = 42,002,233
and
-1 x -42,002,233 = 42,002,233
Notice both answers equal 42,002,233

With that explanation out of the way, let's continue. Next, we take the number 42,002,233 and divide it by 2:

42,002,233 ÷ 2 = 21,001,116.5

If the quotient is a whole number, then 2 and 21,001,116.5 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 42,002,233
-1 -42,002,233

Now, we try dividing 42,002,233 by 3:

42,002,233 ÷ 3 = 14,000,744.3333

If the quotient is a whole number, then 3 and 14,000,744.3333 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 42,002,233
-1 -42,002,233

Let's try dividing by 4:

42,002,233 ÷ 4 = 10,500,558.25

If the quotient is a whole number, then 4 and 10,500,558.25 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 42,002,233
-1 42,002,233
Keep dividing by the next highest number until you cannot divide anymore.

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

17136783914695818711,0795,5616,0976,8897,55338,92748,22372,29389,557461,563506,051626,8993,230,9416,000,31942,002,233
-1-7-13-67-83-91-469-581-871-1,079-5,561-6,097-6,889-7,553-38,927-48,223-72,293-89,557-461,563-506,051-626,899-3,230,941-6,000,319-42,002,233

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