Q: What are the factor combinations of the number 457,425,667?

 A:
Positive:   1 x 45742566747 x 9732461101 x 4528967173 x 2644079557 x 8212314747 x 963618131 x 5625717473 x 26179
Negative: -1 x -457425667-47 x -9732461-101 x -4528967-173 x -2644079-557 x -821231-4747 x -96361-8131 x -56257-17473 x -26179


How do I find the factor combinations of the number 457,425,667?

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 457,425,667, 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.

1 457,425,667
-1 -457,425,667

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 457,425,667.

Example:
1 x 457,425,667 = 457,425,667
and
-1 x -457,425,667 = 457,425,667
Notice both answers equal 457,425,667

With that explanation out of the way, let's continue. Next, we take the number 457,425,667 and divide it by 2:

457,425,667 ÷ 2 = 228,712,833.5

If the quotient is a whole number, then 2 and 228,712,833.5 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:

1 457,425,667
-1 -457,425,667

Now, we try dividing 457,425,667 by 3:

457,425,667 ÷ 3 = 152,475,222.3333

If the quotient is a whole number, then 3 and 152,475,222.3333 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:

1 457,425,667
-1 -457,425,667

Let's try dividing by 4:

457,425,667 ÷ 4 = 114,356,416.75

If the quotient is a whole number, then 4 and 114,356,416.75 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:

1 457,425,667
-1 457,425,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1471011735574,7478,13117,47326,17956,25796,361821,2312,644,0794,528,9679,732,461457,425,667
-1-47-101-173-557-4,747-8,131-17,473-26,179-56,257-96,361-821,231-2,644,079-4,528,967-9,732,461-457,425,667

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