Q: What are the factor combinations of the number 107,070,341?

 A:
Positive:   1 x 1070703417 x 1529576337 x 289379349 x 218510973 x 1466717259 x 413399511 x 209531809 x 1323491813 x 590572701 x 396413577 x 299335663 x 18907
Negative: -1 x -107070341-7 x -15295763-37 x -2893793-49 x -2185109-73 x -1466717-259 x -413399-511 x -209531-809 x -132349-1813 x -59057-2701 x -39641-3577 x -29933-5663 x -18907


How do I find the factor combinations of the number 107,070,341?

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 107,070,341, 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.

1 107,070,341
-1 -107,070,341

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 107,070,341.

Example:
1 x 107,070,341 = 107,070,341
and
-1 x -107,070,341 = 107,070,341
Notice both answers equal 107,070,341

With that explanation out of the way, let's continue. Next, we take the number 107,070,341 and divide it by 2:

107,070,341 ÷ 2 = 53,535,170.5

If the quotient is a whole number, then 2 and 53,535,170.5 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:

1 107,070,341
-1 -107,070,341

Now, we try dividing 107,070,341 by 3:

107,070,341 ÷ 3 = 35,690,113.6667

If the quotient is a whole number, then 3 and 35,690,113.6667 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:

1 107,070,341
-1 -107,070,341

Let's try dividing by 4:

107,070,341 ÷ 4 = 26,767,585.25

If the quotient is a whole number, then 4 and 26,767,585.25 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:

1 107,070,341
-1 107,070,341
Keep dividing by the next highest number until you cannot divide anymore.

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

173749732595118091,8132,7013,5775,66318,90729,93339,64159,057132,349209,531413,3991,466,7172,185,1092,893,79315,295,763107,070,341
-1-7-37-49-73-259-511-809-1,813-2,701-3,577-5,663-18,907-29,933-39,641-59,057-132,349-209,531-413,399-1,466,717-2,185,109-2,893,793-15,295,763-107,070,341

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