Q: What are the factor combinations of the number 374,665,711?

 A:
Positive:   1 x 3746657117 x 5352367349 x 764623973 x 5132407511 x 7332013577 x 104743
Negative: -1 x -374665711-7 x -53523673-49 x -7646239-73 x -5132407-511 x -733201-3577 x -104743


How do I find the factor combinations of the number 374,665,711?

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 374,665,711, 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.

1 374,665,711
-1 -374,665,711

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 374,665,711.

Example:
1 x 374,665,711 = 374,665,711
and
-1 x -374,665,711 = 374,665,711
Notice both answers equal 374,665,711

With that explanation out of the way, let's continue. Next, we take the number 374,665,711 and divide it by 2:

374,665,711 ÷ 2 = 187,332,855.5

If the quotient is a whole number, then 2 and 187,332,855.5 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:

1 374,665,711
-1 -374,665,711

Now, we try dividing 374,665,711 by 3:

374,665,711 ÷ 3 = 124,888,570.3333

If the quotient is a whole number, then 3 and 124,888,570.3333 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:

1 374,665,711
-1 -374,665,711

Let's try dividing by 4:

374,665,711 ÷ 4 = 93,666,427.75

If the quotient is a whole number, then 4 and 93,666,427.75 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:

1 374,665,711
-1 374,665,711
Keep dividing by the next highest number until you cannot divide anymore.

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

1749735113,577104,743733,2015,132,4077,646,23953,523,673374,665,711
-1-7-49-73-511-3,577-104,743-733,201-5,132,407-7,646,239-53,523,673-374,665,711

More Examples

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