Q: What are the factor combinations of the number 67,402,643?

 A:
Positive:   1 x 674026437 x 962894911 x 612751371 x 94933377 x 875359497 x 135619781 x 863035467 x 12329
Negative: -1 x -67402643-7 x -9628949-11 x -6127513-71 x -949333-77 x -875359-497 x -135619-781 x -86303-5467 x -12329


How do I find the factor combinations of the number 67,402,643?

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 67,402,643, 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 67,402,643
-1 -67,402,643

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 67,402,643.

Example:
1 x 67,402,643 = 67,402,643
and
-1 x -67,402,643 = 67,402,643
Notice both answers equal 67,402,643

With that explanation out of the way, let's continue. Next, we take the number 67,402,643 and divide it by 2:

67,402,643 ÷ 2 = 33,701,321.5

If the quotient is a whole number, then 2 and 33,701,321.5 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 67,402,643
-1 -67,402,643

Now, we try dividing 67,402,643 by 3:

67,402,643 ÷ 3 = 22,467,547.6667

If the quotient is a whole number, then 3 and 22,467,547.6667 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 67,402,643
-1 -67,402,643

Let's try dividing by 4:

67,402,643 ÷ 4 = 16,850,660.75

If the quotient is a whole number, then 4 and 16,850,660.75 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 67,402,643
-1 67,402,643
Keep dividing by the next highest number until you cannot divide anymore.

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

171171774977815,46712,32986,303135,619875,359949,3336,127,5139,628,94967,402,643
-1-7-11-71-77-497-781-5,467-12,329-86,303-135,619-875,359-949,333-6,127,513-9,628,949-67,402,643

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