Q: What are the factor combinations of the number 7,013,185?

 A:
Positive:   1 x 70131855 x 140263719 x 36911595 x 73823
Negative: -1 x -7013185-5 x -1402637-19 x -369115-95 x -73823


How do I find the factor combinations of the number 7,013,185?

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 7,013,185, 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 7,013,185
-1 -7,013,185

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 7,013,185.

Example:
1 x 7,013,185 = 7,013,185
and
-1 x -7,013,185 = 7,013,185
Notice both answers equal 7,013,185

With that explanation out of the way, let's continue. Next, we take the number 7,013,185 and divide it by 2:

7,013,185 ÷ 2 = 3,506,592.5

If the quotient is a whole number, then 2 and 3,506,592.5 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 7,013,185
-1 -7,013,185

Now, we try dividing 7,013,185 by 3:

7,013,185 ÷ 3 = 2,337,728.3333

If the quotient is a whole number, then 3 and 2,337,728.3333 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 7,013,185
-1 -7,013,185

Let's try dividing by 4:

7,013,185 ÷ 4 = 1,753,296.25

If the quotient is a whole number, then 4 and 1,753,296.25 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 7,013,185
-1 7,013,185
Keep dividing by the next highest number until you cannot divide anymore.

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

15199573,823369,1151,402,6377,013,185
-1-5-19-95-73,823-369,115-1,402,637-7,013,185

More Examples

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