Q: What are the factor combinations of the number 372,076,003?

 A:
Positive:   1 x 37207600313 x 2862123129 x 12830207377 x 986939563 x 6608811753 x 2122517319 x 5083716327 x 22789
Negative: -1 x -372076003-13 x -28621231-29 x -12830207-377 x -986939-563 x -660881-1753 x -212251-7319 x -50837-16327 x -22789


How do I find the factor combinations of the number 372,076,003?

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 372,076,003, 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.

1 372,076,003
-1 -372,076,003

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 372,076,003.

Example:
1 x 372,076,003 = 372,076,003
and
-1 x -372,076,003 = 372,076,003
Notice both answers equal 372,076,003

With that explanation out of the way, let's continue. Next, we take the number 372,076,003 and divide it by 2:

372,076,003 ÷ 2 = 186,038,001.5

If the quotient is a whole number, then 2 and 186,038,001.5 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:

1 372,076,003
-1 -372,076,003

Now, we try dividing 372,076,003 by 3:

372,076,003 ÷ 3 = 124,025,334.3333

If the quotient is a whole number, then 3 and 124,025,334.3333 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:

1 372,076,003
-1 -372,076,003

Let's try dividing by 4:

372,076,003 ÷ 4 = 93,019,000.75

If the quotient is a whole number, then 4 and 93,019,000.75 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:

1 372,076,003
-1 372,076,003
Keep dividing by the next highest number until you cannot divide anymore.

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

113293775631,7537,31916,32722,78950,837212,251660,881986,93912,830,20728,621,231372,076,003
-1-13-29-377-563-1,753-7,319-16,327-22,789-50,837-212,251-660,881-986,939-12,830,207-28,621,231-372,076,003

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 372,076,003:


Ask a Question