Q: What are the factor combinations of the number 761,504,429?

 A:
Positive:   1 x 7615044297 x 10878634731 x 24564659217 x 3509237239 x 31862111673 x 4551737409 x 10278114683 x 51863
Negative: -1 x -761504429-7 x -108786347-31 x -24564659-217 x -3509237-239 x -3186211-1673 x -455173-7409 x -102781-14683 x -51863


How do I find the factor combinations of the number 761,504,429?

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 761,504,429, 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.

1 761,504,429
-1 -761,504,429

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 761,504,429.

Example:
1 x 761,504,429 = 761,504,429
and
-1 x -761,504,429 = 761,504,429
Notice both answers equal 761,504,429

With that explanation out of the way, let's continue. Next, we take the number 761,504,429 and divide it by 2:

761,504,429 ÷ 2 = 380,752,214.5

If the quotient is a whole number, then 2 and 380,752,214.5 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:

1 761,504,429
-1 -761,504,429

Now, we try dividing 761,504,429 by 3:

761,504,429 ÷ 3 = 253,834,809.6667

If the quotient is a whole number, then 3 and 253,834,809.6667 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:

1 761,504,429
-1 -761,504,429

Let's try dividing by 4:

761,504,429 ÷ 4 = 190,376,107.25

If the quotient is a whole number, then 4 and 190,376,107.25 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:

1 761,504,429
-1 761,504,429
Keep dividing by the next highest number until you cannot divide anymore.

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

17312172391,6737,40914,68351,863102,781455,1733,186,2113,509,23724,564,659108,786,347761,504,429
-1-7-31-217-239-1,673-7,409-14,683-51,863-102,781-455,173-3,186,211-3,509,237-24,564,659-108,786,347-761,504,429

More Examples

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