Q: What are the factor combinations of the number 377,635,625?

 A:
Positive:   1 x 3776356255 x 7552712525 x 1510542541 x 9210625125 x 3021085205 x 1842125625 x 6042171025 x 3684255125 x 7368514737 x 25625
Negative: -1 x -377635625-5 x -75527125-25 x -15105425-41 x -9210625-125 x -3021085-205 x -1842125-625 x -604217-1025 x -368425-5125 x -73685-14737 x -25625


How do I find the factor combinations of the number 377,635,625?

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 377,635,625, 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.

1 377,635,625
-1 -377,635,625

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 377,635,625.

Example:
1 x 377,635,625 = 377,635,625
and
-1 x -377,635,625 = 377,635,625
Notice both answers equal 377,635,625

With that explanation out of the way, let's continue. Next, we take the number 377,635,625 and divide it by 2:

377,635,625 ÷ 2 = 188,817,812.5

If the quotient is a whole number, then 2 and 188,817,812.5 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:

1 377,635,625
-1 -377,635,625

Now, we try dividing 377,635,625 by 3:

377,635,625 ÷ 3 = 125,878,541.6667

If the quotient is a whole number, then 3 and 125,878,541.6667 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:

1 377,635,625
-1 -377,635,625

Let's try dividing by 4:

377,635,625 ÷ 4 = 94,408,906.25

If the quotient is a whole number, then 4 and 94,408,906.25 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:

1 377,635,625
-1 377,635,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252056251,0255,12514,73725,62573,685368,425604,2171,842,1253,021,0859,210,62515,105,42575,527,125377,635,625
-1-5-25-41-125-205-625-1,025-5,125-14,737-25,625-73,685-368,425-604,217-1,842,125-3,021,085-9,210,625-15,105,425-75,527,125-377,635,625

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