Q: What are the factor combinations of the number 70,404,145?

 A:
Positive:   1 x 704041455 x 140808297 x 1005773535 x 2011547601 x 1171453005 x 234293347 x 210354207 x 16735
Negative: -1 x -70404145-5 x -14080829-7 x -10057735-35 x -2011547-601 x -117145-3005 x -23429-3347 x -21035-4207 x -16735


How do I find the factor combinations of the number 70,404,145?

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 70,404,145, 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 70,404,145
-1 -70,404,145

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 70,404,145.

Example:
1 x 70,404,145 = 70,404,145
and
-1 x -70,404,145 = 70,404,145
Notice both answers equal 70,404,145

With that explanation out of the way, let's continue. Next, we take the number 70,404,145 and divide it by 2:

70,404,145 ÷ 2 = 35,202,072.5

If the quotient is a whole number, then 2 and 35,202,072.5 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 70,404,145
-1 -70,404,145

Now, we try dividing 70,404,145 by 3:

70,404,145 ÷ 3 = 23,468,048.3333

If the quotient is a whole number, then 3 and 23,468,048.3333 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 70,404,145
-1 -70,404,145

Let's try dividing by 4:

70,404,145 ÷ 4 = 17,601,036.25

If the quotient is a whole number, then 4 and 17,601,036.25 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 70,404,145
-1 70,404,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157356013,0053,3474,20716,73521,03523,429117,1452,011,54710,057,73514,080,82970,404,145
-1-5-7-35-601-3,005-3,347-4,207-16,735-21,035-23,429-117,145-2,011,547-10,057,735-14,080,829-70,404,145

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