Q: What are the factor combinations of the number 22,024,387?

 A:
Positive:   1 x 220243877 x 314634111 x 200221777 x 286031103 x 213829721 x 305471133 x 194392777 x 7931
Negative: -1 x -22024387-7 x -3146341-11 x -2002217-77 x -286031-103 x -213829-721 x -30547-1133 x -19439-2777 x -7931


How do I find the factor combinations of the number 22,024,387?

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 22,024,387, 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 22,024,387
-1 -22,024,387

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 22,024,387.

Example:
1 x 22,024,387 = 22,024,387
and
-1 x -22,024,387 = 22,024,387
Notice both answers equal 22,024,387

With that explanation out of the way, let's continue. Next, we take the number 22,024,387 and divide it by 2:

22,024,387 ÷ 2 = 11,012,193.5

If the quotient is a whole number, then 2 and 11,012,193.5 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 22,024,387
-1 -22,024,387

Now, we try dividing 22,024,387 by 3:

22,024,387 ÷ 3 = 7,341,462.3333

If the quotient is a whole number, then 3 and 7,341,462.3333 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 22,024,387
-1 -22,024,387

Let's try dividing by 4:

22,024,387 ÷ 4 = 5,506,096.75

If the quotient is a whole number, then 4 and 5,506,096.75 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 22,024,387
-1 22,024,387
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771037211,1332,7777,93119,43930,547213,829286,0312,002,2173,146,34122,024,387
-1-7-11-77-103-721-1,133-2,777-7,931-19,439-30,547-213,829-286,031-2,002,217-3,146,341-22,024,387

More Examples

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