Q: What are the factor combinations of the number 36,224,365?

 A:
Positive:   1 x 362243655 x 724487317 x 213084585 x 426169229 x 1581851145 x 316371861 x 194653893 x 9305
Negative: -1 x -36224365-5 x -7244873-17 x -2130845-85 x -426169-229 x -158185-1145 x -31637-1861 x -19465-3893 x -9305


How do I find the factor combinations of the number 36,224,365?

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 36,224,365, 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 36,224,365
-1 -36,224,365

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 36,224,365.

Example:
1 x 36,224,365 = 36,224,365
and
-1 x -36,224,365 = 36,224,365
Notice both answers equal 36,224,365

With that explanation out of the way, let's continue. Next, we take the number 36,224,365 and divide it by 2:

36,224,365 ÷ 2 = 18,112,182.5

If the quotient is a whole number, then 2 and 18,112,182.5 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 36,224,365
-1 -36,224,365

Now, we try dividing 36,224,365 by 3:

36,224,365 ÷ 3 = 12,074,788.3333

If the quotient is a whole number, then 3 and 12,074,788.3333 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 36,224,365
-1 -36,224,365

Let's try dividing by 4:

36,224,365 ÷ 4 = 9,056,091.25

If the quotient is a whole number, then 4 and 9,056,091.25 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 36,224,365
-1 36,224,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852291,1451,8613,8939,30519,46531,637158,185426,1692,130,8457,244,87336,224,365
-1-5-17-85-229-1,145-1,861-3,893-9,305-19,465-31,637-158,185-426,169-2,130,845-7,244,873-36,224,365

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