Q: What are the factor combinations of the number 366,677,425?

 A:
Positive:   1 x 3666774255 x 7333548525 x 14667097103 x 3559975157 x 2335525515 x 711995785 x 467105907 x 4042752575 x 1423993925 x 934214535 x 8085516171 x 22675
Negative: -1 x -366677425-5 x -73335485-25 x -14667097-103 x -3559975-157 x -2335525-515 x -711995-785 x -467105-907 x -404275-2575 x -142399-3925 x -93421-4535 x -80855-16171 x -22675


How do I find the factor combinations of the number 366,677,425?

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 366,677,425, 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.

1 366,677,425
-1 -366,677,425

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 366,677,425.

Example:
1 x 366,677,425 = 366,677,425
and
-1 x -366,677,425 = 366,677,425
Notice both answers equal 366,677,425

With that explanation out of the way, let's continue. Next, we take the number 366,677,425 and divide it by 2:

366,677,425 ÷ 2 = 183,338,712.5

If the quotient is a whole number, then 2 and 183,338,712.5 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:

1 366,677,425
-1 -366,677,425

Now, we try dividing 366,677,425 by 3:

366,677,425 ÷ 3 = 122,225,808.3333

If the quotient is a whole number, then 3 and 122,225,808.3333 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:

1 366,677,425
-1 -366,677,425

Let's try dividing by 4:

366,677,425 ÷ 4 = 91,669,356.25

If the quotient is a whole number, then 4 and 91,669,356.25 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:

1 366,677,425
-1 366,677,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251031575157859072,5753,9254,53516,17122,67580,85593,421142,399404,275467,105711,9952,335,5253,559,97514,667,09773,335,485366,677,425
-1-5-25-103-157-515-785-907-2,575-3,925-4,535-16,171-22,675-80,855-93,421-142,399-404,275-467,105-711,995-2,335,525-3,559,975-14,667,097-73,335,485-366,677,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 366,677,425:


Ask a Question