Q: What are the factor combinations of the number 5,387,185?

 A:
Positive:   1 x 53871855 x 107743729 x 18576553 x 101645145 x 37153265 x 20329701 x 76851537 x 3505
Negative: -1 x -5387185-5 x -1077437-29 x -185765-53 x -101645-145 x -37153-265 x -20329-701 x -7685-1537 x -3505


How do I find the factor combinations of the number 5,387,185?

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 5,387,185, 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 5,387,185
-1 -5,387,185

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 5,387,185.

Example:
1 x 5,387,185 = 5,387,185
and
-1 x -5,387,185 = 5,387,185
Notice both answers equal 5,387,185

With that explanation out of the way, let's continue. Next, we take the number 5,387,185 and divide it by 2:

5,387,185 ÷ 2 = 2,693,592.5

If the quotient is a whole number, then 2 and 2,693,592.5 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 5,387,185
-1 -5,387,185

Now, we try dividing 5,387,185 by 3:

5,387,185 ÷ 3 = 1,795,728.3333

If the quotient is a whole number, then 3 and 1,795,728.3333 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 5,387,185
-1 -5,387,185

Let's try dividing by 4:

5,387,185 ÷ 4 = 1,346,796.25

If the quotient is a whole number, then 4 and 1,346,796.25 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 5,387,185
-1 5,387,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531452657011,5373,5057,68520,32937,153101,645185,7651,077,4375,387,185
-1-5-29-53-145-265-701-1,537-3,505-7,685-20,329-37,153-101,645-185,765-1,077,437-5,387,185

More Examples

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