Q: What are the factor combinations of the number 3,671,525?

 A:
Positive:   1 x 36715255 x 73430511 x 33377513 x 28242525 x 14686155 x 6675565 x 5648579 x 46475143 x 25675169 x 21725275 x 13351325 x 11297395 x 9295715 x 5135845 x 4345869 x 42251027 x 35751859 x 1975
Negative: -1 x -3671525-5 x -734305-11 x -333775-13 x -282425-25 x -146861-55 x -66755-65 x -56485-79 x -46475-143 x -25675-169 x -21725-275 x -13351-325 x -11297-395 x -9295-715 x -5135-845 x -4345-869 x -4225-1027 x -3575-1859 x -1975


How do I find the factor combinations of the number 3,671,525?

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 3,671,525, 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 3,671,525
-1 -3,671,525

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 3,671,525.

Example:
1 x 3,671,525 = 3,671,525
and
-1 x -3,671,525 = 3,671,525
Notice both answers equal 3,671,525

With that explanation out of the way, let's continue. Next, we take the number 3,671,525 and divide it by 2:

3,671,525 ÷ 2 = 1,835,762.5

If the quotient is a whole number, then 2 and 1,835,762.5 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 3,671,525
-1 -3,671,525

Now, we try dividing 3,671,525 by 3:

3,671,525 ÷ 3 = 1,223,841.6667

If the quotient is a whole number, then 3 and 1,223,841.6667 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 3,671,525
-1 -3,671,525

Let's try dividing by 4:

3,671,525 ÷ 4 = 917,881.25

If the quotient is a whole number, then 4 and 917,881.25 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 3,671,525
-1 3,671,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151113255565791431692753253957158458691,0271,8591,9753,5754,2254,3455,1359,29511,29713,35121,72525,67546,47556,48566,755146,861282,425333,775734,3053,671,525
-1-5-11-13-25-55-65-79-143-169-275-325-395-715-845-869-1,027-1,859-1,975-3,575-4,225-4,345-5,135-9,295-11,297-13,351-21,725-25,675-46,475-56,485-66,755-146,861-282,425-333,775-734,305-3,671,525

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