Q: What are the factor combinations of the number 674,475,744?

 A:
Positive:   1 x 6744757442 x 3372378723 x 2248252484 x 1686189366 x 1124126248 x 8430946812 x 5620631216 x 4215473424 x 2810315632 x 2107736748 x 1405157896 x 7025789163 x 4137888326 x 2068944489 x 1379296652 x 1034472978 x 6896481304 x 5172361956 x 3448242608 x 2586183912 x 1724125216 x 1293097824 x 8620615648 x 43103
Negative: -1 x -674475744-2 x -337237872-3 x -224825248-4 x -168618936-6 x -112412624-8 x -84309468-12 x -56206312-16 x -42154734-24 x -28103156-32 x -21077367-48 x -14051578-96 x -7025789-163 x -4137888-326 x -2068944-489 x -1379296-652 x -1034472-978 x -689648-1304 x -517236-1956 x -344824-2608 x -258618-3912 x -172412-5216 x -129309-7824 x -86206-15648 x -43103


How do I find the factor combinations of the number 674,475,744?

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 674,475,744, 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.

1 674,475,744
-1 -674,475,744

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 674,475,744.

Example:
1 x 674,475,744 = 674,475,744
and
-1 x -674,475,744 = 674,475,744
Notice both answers equal 674,475,744

With that explanation out of the way, let's continue. Next, we take the number 674,475,744 and divide it by 2:

674,475,744 ÷ 2 = 337,237,872

If the quotient is a whole number, then 2 and 337,237,872 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 337,237,872 674,475,744
-1 -2 -337,237,872 -674,475,744

Now, we try dividing 674,475,744 by 3:

674,475,744 ÷ 3 = 224,825,248

If the quotient is a whole number, then 3 and 224,825,248 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 224,825,248 337,237,872 674,475,744
-1 -2 -3 -224,825,248 -337,237,872 -674,475,744

Let's try dividing by 4:

674,475,744 ÷ 4 = 168,618,936

If the quotient is a whole number, then 4 and 168,618,936 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 168,618,936 224,825,248 337,237,872 674,475,744
-1 -2 -3 -4 -168,618,936 -224,825,248 -337,237,872 674,475,744
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681216243248961633264896529781,3041,9562,6083,9125,2167,82415,64843,10386,206129,309172,412258,618344,824517,236689,6481,034,4721,379,2962,068,9444,137,8887,025,78914,051,57821,077,36728,103,15642,154,73456,206,31284,309,468112,412,624168,618,936224,825,248337,237,872674,475,744
-1-2-3-4-6-8-12-16-24-32-48-96-163-326-489-652-978-1,304-1,956-2,608-3,912-5,216-7,824-15,648-43,103-86,206-129,309-172,412-258,618-344,824-517,236-689,648-1,034,472-1,379,296-2,068,944-4,137,888-7,025,789-14,051,578-21,077,367-28,103,156-42,154,734-56,206,312-84,309,468-112,412,624-168,618,936-224,825,248-337,237,872-674,475,744

More Examples

Here are some more numbers to try:

674,475,742674,475,743674,475,745674,475,746
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