Q: What are the factor combinations of the number 462,703,045?

 A:
Positive:   1 x 4627030455 x 925406097 x 6610043535 x 132200872851 x 1622954637 x 9978514255 x 3245919957 x 23185
Negative: -1 x -462703045-5 x -92540609-7 x -66100435-35 x -13220087-2851 x -162295-4637 x -99785-14255 x -32459-19957 x -23185


How do I find the factor combinations of the number 462,703,045?

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 462,703,045, 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.

1 462,703,045
-1 -462,703,045

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 462,703,045.

Example:
1 x 462,703,045 = 462,703,045
and
-1 x -462,703,045 = 462,703,045
Notice both answers equal 462,703,045

With that explanation out of the way, let's continue. Next, we take the number 462,703,045 and divide it by 2:

462,703,045 ÷ 2 = 231,351,522.5

If the quotient is a whole number, then 2 and 231,351,522.5 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:

1 462,703,045
-1 -462,703,045

Now, we try dividing 462,703,045 by 3:

462,703,045 ÷ 3 = 154,234,348.3333

If the quotient is a whole number, then 3 and 154,234,348.3333 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:

1 462,703,045
-1 -462,703,045

Let's try dividing by 4:

462,703,045 ÷ 4 = 115,675,761.25

If the quotient is a whole number, then 4 and 115,675,761.25 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:

1 462,703,045
-1 462,703,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,8514,63714,25519,95723,18532,45999,785162,29513,220,08766,100,43592,540,609462,703,045
-1-5-7-35-2,851-4,637-14,255-19,957-23,185-32,459-99,785-162,295-13,220,087-66,100,435-92,540,609-462,703,045

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