Q: What are the factor combinations of the number 53,703,629?

 A:
Positive:   1 x 537036297 x 767194717 x 315903759 x 910231119 x 451291413 x 1300331003 x 535437021 x 7649
Negative: -1 x -53703629-7 x -7671947-17 x -3159037-59 x -910231-119 x -451291-413 x -130033-1003 x -53543-7021 x -7649


How do I find the factor combinations of the number 53,703,629?

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 53,703,629, 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 53,703,629
-1 -53,703,629

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 53,703,629.

Example:
1 x 53,703,629 = 53,703,629
and
-1 x -53,703,629 = 53,703,629
Notice both answers equal 53,703,629

With that explanation out of the way, let's continue. Next, we take the number 53,703,629 and divide it by 2:

53,703,629 ÷ 2 = 26,851,814.5

If the quotient is a whole number, then 2 and 26,851,814.5 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 53,703,629
-1 -53,703,629

Now, we try dividing 53,703,629 by 3:

53,703,629 ÷ 3 = 17,901,209.6667

If the quotient is a whole number, then 3 and 17,901,209.6667 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 53,703,629
-1 -53,703,629

Let's try dividing by 4:

53,703,629 ÷ 4 = 13,425,907.25

If the quotient is a whole number, then 4 and 13,425,907.25 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 53,703,629
-1 53,703,629
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591194131,0037,0217,64953,543130,033451,291910,2313,159,0377,671,94753,703,629
-1-7-17-59-119-413-1,003-7,021-7,649-53,543-130,033-451,291-910,231-3,159,037-7,671,947-53,703,629

More Examples

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