Q: What are the factor combinations of the number 376,585,225?

 A:
Positive:   1 x 3765852255 x 7531704519 x 1982027525 x 1506340967 x 562067595 x 3964055335 x 1124135475 x 7928111273 x 2958251675 x 2248276365 x 5916511833 x 31825
Negative: -1 x -376585225-5 x -75317045-19 x -19820275-25 x -15063409-67 x -5620675-95 x -3964055-335 x -1124135-475 x -792811-1273 x -295825-1675 x -224827-6365 x -59165-11833 x -31825


How do I find the factor combinations of the number 376,585,225?

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 376,585,225, 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.

1 376,585,225
-1 -376,585,225

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 376,585,225.

Example:
1 x 376,585,225 = 376,585,225
and
-1 x -376,585,225 = 376,585,225
Notice both answers equal 376,585,225

With that explanation out of the way, let's continue. Next, we take the number 376,585,225 and divide it by 2:

376,585,225 ÷ 2 = 188,292,612.5

If the quotient is a whole number, then 2 and 188,292,612.5 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:

1 376,585,225
-1 -376,585,225

Now, we try dividing 376,585,225 by 3:

376,585,225 ÷ 3 = 125,528,408.3333

If the quotient is a whole number, then 3 and 125,528,408.3333 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:

1 376,585,225
-1 -376,585,225

Let's try dividing by 4:

376,585,225 ÷ 4 = 94,146,306.25

If the quotient is a whole number, then 4 and 94,146,306.25 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:

1 376,585,225
-1 376,585,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15192567953354751,2731,6756,36511,83331,82559,165224,827295,825792,8111,124,1353,964,0555,620,67515,063,40919,820,27575,317,045376,585,225
-1-5-19-25-67-95-335-475-1,273-1,675-6,365-11,833-31,825-59,165-224,827-295,825-792,811-1,124,135-3,964,055-5,620,675-15,063,409-19,820,275-75,317,045-376,585,225

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