Q: What are the factor combinations of the number 442,000,433?

 A:
Positive:   1 x 4420004337 x 6314291949 x 902041789 x 4966297343 x 1288631623 x 7094714361 x 10135314479 x 30527
Negative: -1 x -442000433-7 x -63142919-49 x -9020417-89 x -4966297-343 x -1288631-623 x -709471-4361 x -101353-14479 x -30527


How do I find the factor combinations of the number 442,000,433?

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 442,000,433, 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.

1 442,000,433
-1 -442,000,433

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 442,000,433.

Example:
1 x 442,000,433 = 442,000,433
and
-1 x -442,000,433 = 442,000,433
Notice both answers equal 442,000,433

With that explanation out of the way, let's continue. Next, we take the number 442,000,433 and divide it by 2:

442,000,433 ÷ 2 = 221,000,216.5

If the quotient is a whole number, then 2 and 221,000,216.5 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:

1 442,000,433
-1 -442,000,433

Now, we try dividing 442,000,433 by 3:

442,000,433 ÷ 3 = 147,333,477.6667

If the quotient is a whole number, then 3 and 147,333,477.6667 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:

1 442,000,433
-1 -442,000,433

Let's try dividing by 4:

442,000,433 ÷ 4 = 110,500,108.25

If the quotient is a whole number, then 4 and 110,500,108.25 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:

1 442,000,433
-1 442,000,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1749893436234,36114,47930,527101,353709,4711,288,6314,966,2979,020,41763,142,919442,000,433
-1-7-49-89-343-623-4,361-14,479-30,527-101,353-709,471-1,288,631-4,966,297-9,020,417-63,142,919-442,000,433

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