Q: What are the factor combinations of the number 121,570,349?

 A:
Positive:   1 x 12157034917 x 715119729 x 419208183 x 1464703493 x 2465931411 x 861592407 x 505072971 x 40919
Negative: -1 x -121570349-17 x -7151197-29 x -4192081-83 x -1464703-493 x -246593-1411 x -86159-2407 x -50507-2971 x -40919


How do I find the factor combinations of the number 121,570,349?

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 121,570,349, 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.

1 121,570,349
-1 -121,570,349

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 121,570,349.

Example:
1 x 121,570,349 = 121,570,349
and
-1 x -121,570,349 = 121,570,349
Notice both answers equal 121,570,349

With that explanation out of the way, let's continue. Next, we take the number 121,570,349 and divide it by 2:

121,570,349 ÷ 2 = 60,785,174.5

If the quotient is a whole number, then 2 and 60,785,174.5 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:

1 121,570,349
-1 -121,570,349

Now, we try dividing 121,570,349 by 3:

121,570,349 ÷ 3 = 40,523,449.6667

If the quotient is a whole number, then 3 and 40,523,449.6667 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:

1 121,570,349
-1 -121,570,349

Let's try dividing by 4:

121,570,349 ÷ 4 = 30,392,587.25

If the quotient is a whole number, then 4 and 30,392,587.25 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:

1 121,570,349
-1 121,570,349
Keep dividing by the next highest number until you cannot divide anymore.

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

11729834931,4112,4072,97140,91950,50786,159246,5931,464,7034,192,0817,151,197121,570,349
-1-17-29-83-493-1,411-2,407-2,971-40,919-50,507-86,159-246,593-1,464,703-4,192,081-7,151,197-121,570,349

More Examples

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