Q: What are the factor combinations of the number 368,415,271?

 A:
Positive:   1 x 3684152717 x 5263075343 x 856779749 x 7518679301 x 1223971343 x 10740972107 x 17485314749 x 24979
Negative: -1 x -368415271-7 x -52630753-43 x -8567797-49 x -7518679-301 x -1223971-343 x -1074097-2107 x -174853-14749 x -24979


How do I find the factor combinations of the number 368,415,271?

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 368,415,271, 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.

1 368,415,271
-1 -368,415,271

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 368,415,271.

Example:
1 x 368,415,271 = 368,415,271
and
-1 x -368,415,271 = 368,415,271
Notice both answers equal 368,415,271

With that explanation out of the way, let's continue. Next, we take the number 368,415,271 and divide it by 2:

368,415,271 ÷ 2 = 184,207,635.5

If the quotient is a whole number, then 2 and 184,207,635.5 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:

1 368,415,271
-1 -368,415,271

Now, we try dividing 368,415,271 by 3:

368,415,271 ÷ 3 = 122,805,090.3333

If the quotient is a whole number, then 3 and 122,805,090.3333 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:

1 368,415,271
-1 -368,415,271

Let's try dividing by 4:

368,415,271 ÷ 4 = 92,103,817.75

If the quotient is a whole number, then 4 and 92,103,817.75 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:

1 368,415,271
-1 368,415,271
Keep dividing by the next highest number until you cannot divide anymore.

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

1743493013432,10714,74924,979174,8531,074,0971,223,9717,518,6798,567,79752,630,753368,415,271
-1-7-43-49-301-343-2,107-14,749-24,979-174,853-1,074,097-1,223,971-7,518,679-8,567,797-52,630,753-368,415,271

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 368,415,271:


Ask a Question