Q: What are the factor combinations of the number 73,117,145?

 A:
Positive:   1 x 731171455 x 1462342941 x 178334597 x 753785205 x 356669485 x 1507573677 x 198853977 x 18385
Negative: -1 x -73117145-5 x -14623429-41 x -1783345-97 x -753785-205 x -356669-485 x -150757-3677 x -19885-3977 x -18385


How do I find the factor combinations of the number 73,117,145?

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 73,117,145, 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 73,117,145
-1 -73,117,145

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 73,117,145.

Example:
1 x 73,117,145 = 73,117,145
and
-1 x -73,117,145 = 73,117,145
Notice both answers equal 73,117,145

With that explanation out of the way, let's continue. Next, we take the number 73,117,145 and divide it by 2:

73,117,145 ÷ 2 = 36,558,572.5

If the quotient is a whole number, then 2 and 36,558,572.5 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 73,117,145
-1 -73,117,145

Now, we try dividing 73,117,145 by 3:

73,117,145 ÷ 3 = 24,372,381.6667

If the quotient is a whole number, then 3 and 24,372,381.6667 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 73,117,145
-1 -73,117,145

Let's try dividing by 4:

73,117,145 ÷ 4 = 18,279,286.25

If the quotient is a whole number, then 4 and 18,279,286.25 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 73,117,145
-1 73,117,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1541972054853,6773,97718,38519,885150,757356,669753,7851,783,34514,623,42973,117,145
-1-5-41-97-205-485-3,677-3,977-18,385-19,885-150,757-356,669-753,785-1,783,345-14,623,429-73,117,145

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