Q: What are the factor combinations of the number 67,402,775?

 A:
Positive:   1 x 674027755 x 1348055511 x 612752525 x 269611155 x 1225505131 x 514525275 x 245101655 x 1029051441 x 467751871 x 360253275 x 205817205 x 9355
Negative: -1 x -67402775-5 x -13480555-11 x -6127525-25 x -2696111-55 x -1225505-131 x -514525-275 x -245101-655 x -102905-1441 x -46775-1871 x -36025-3275 x -20581-7205 x -9355


How do I find the factor combinations of the number 67,402,775?

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 67,402,775, 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 67,402,775
-1 -67,402,775

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 67,402,775.

Example:
1 x 67,402,775 = 67,402,775
and
-1 x -67,402,775 = 67,402,775
Notice both answers equal 67,402,775

With that explanation out of the way, let's continue. Next, we take the number 67,402,775 and divide it by 2:

67,402,775 ÷ 2 = 33,701,387.5

If the quotient is a whole number, then 2 and 33,701,387.5 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 67,402,775
-1 -67,402,775

Now, we try dividing 67,402,775 by 3:

67,402,775 ÷ 3 = 22,467,591.6667

If the quotient is a whole number, then 3 and 22,467,591.6667 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 67,402,775
-1 -67,402,775

Let's try dividing by 4:

67,402,775 ÷ 4 = 16,850,693.75

If the quotient is a whole number, then 4 and 16,850,693.75 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 67,402,775
-1 67,402,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551312756551,4411,8713,2757,2059,35520,58136,02546,775102,905245,101514,5251,225,5052,696,1116,127,52513,480,55567,402,775
-1-5-11-25-55-131-275-655-1,441-1,871-3,275-7,205-9,355-20,581-36,025-46,775-102,905-245,101-514,525-1,225,505-2,696,111-6,127,525-13,480,555-67,402,775

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