Q: What are the factor combinations of the number 537,354,035?

 A:
Positive:   1 x 5373540355 x 10747080783 x 6474145401 x 1340035415 x 12948292005 x 2680073229 x 16641516145 x 33283
Negative: -1 x -537354035-5 x -107470807-83 x -6474145-401 x -1340035-415 x -1294829-2005 x -268007-3229 x -166415-16145 x -33283


How do I find the factor combinations of the number 537,354,035?

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 537,354,035, 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.

1 537,354,035
-1 -537,354,035

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 537,354,035.

Example:
1 x 537,354,035 = 537,354,035
and
-1 x -537,354,035 = 537,354,035
Notice both answers equal 537,354,035

With that explanation out of the way, let's continue. Next, we take the number 537,354,035 and divide it by 2:

537,354,035 ÷ 2 = 268,677,017.5

If the quotient is a whole number, then 2 and 268,677,017.5 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:

1 537,354,035
-1 -537,354,035

Now, we try dividing 537,354,035 by 3:

537,354,035 ÷ 3 = 179,118,011.6667

If the quotient is a whole number, then 3 and 179,118,011.6667 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:

1 537,354,035
-1 -537,354,035

Let's try dividing by 4:

537,354,035 ÷ 4 = 134,338,508.75

If the quotient is a whole number, then 4 and 134,338,508.75 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:

1 537,354,035
-1 537,354,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15834014152,0053,22916,14533,283166,415268,0071,294,8291,340,0356,474,145107,470,807537,354,035
-1-5-83-401-415-2,005-3,229-16,145-33,283-166,415-268,007-1,294,829-1,340,035-6,474,145-107,470,807-537,354,035

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