Q: What are the factor combinations of the number 377,472,475?

 A:
Positive:   1 x 3774724755 x 7549449525 x 15098899283 x 13338251415 x 2667657075 x 53353
Negative: -1 x -377472475-5 x -75494495-25 x -15098899-283 x -1333825-1415 x -266765-7075 x -53353


How do I find the factor combinations of the number 377,472,475?

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 377,472,475, 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.

1 377,472,475
-1 -377,472,475

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 377,472,475.

Example:
1 x 377,472,475 = 377,472,475
and
-1 x -377,472,475 = 377,472,475
Notice both answers equal 377,472,475

With that explanation out of the way, let's continue. Next, we take the number 377,472,475 and divide it by 2:

377,472,475 ÷ 2 = 188,736,237.5

If the quotient is a whole number, then 2 and 188,736,237.5 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:

1 377,472,475
-1 -377,472,475

Now, we try dividing 377,472,475 by 3:

377,472,475 ÷ 3 = 125,824,158.3333

If the quotient is a whole number, then 3 and 125,824,158.3333 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:

1 377,472,475
-1 -377,472,475

Let's try dividing by 4:

377,472,475 ÷ 4 = 94,368,118.75

If the quotient is a whole number, then 4 and 94,368,118.75 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:

1 377,472,475
-1 377,472,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15252831,4157,07553,353266,7651,333,82515,098,89975,494,495377,472,475
-1-5-25-283-1,415-7,075-53,353-266,765-1,333,825-15,098,899-75,494,495-377,472,475

More Examples

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