Q: What are the factor combinations of the number 463,462,848?

 A:
Positive:   1 x 4634628482 x 2317314243 x 1544876164 x 1158657126 x 772438088 x 579328569 x 5149587212 x 3862190416 x 2896642818 x 2574793624 x 1931095232 x 1448321436 x 1287396848 x 965547664 x 724160772 x 643698496 x 4827738144 x 3218492173 x 2678976192 x 2413869288 x 1609246346 x 1339488519 x 892992576 x 804623692 x 6697441038 x 4464961384 x 3348721557 x 2976642076 x 2232482768 x 1674363114 x 1488324152 x 1116244651 x 996485536 x 837186228 x 744168304 x 558129302 x 4982411072 x 4185912456 x 3720813953 x 3321616608 x 2790618604 x 24912
Negative: -1 x -463462848-2 x -231731424-3 x -154487616-4 x -115865712-6 x -77243808-8 x -57932856-9 x -51495872-12 x -38621904-16 x -28966428-18 x -25747936-24 x -19310952-32 x -14483214-36 x -12873968-48 x -9655476-64 x -7241607-72 x -6436984-96 x -4827738-144 x -3218492-173 x -2678976-192 x -2413869-288 x -1609246-346 x -1339488-519 x -892992-576 x -804623-692 x -669744-1038 x -446496-1384 x -334872-1557 x -297664-2076 x -223248-2768 x -167436-3114 x -148832-4152 x -111624-4651 x -99648-5536 x -83718-6228 x -74416-8304 x -55812-9302 x -49824-11072 x -41859-12456 x -37208-13953 x -33216-16608 x -27906-18604 x -24912


How do I find the factor combinations of the number 463,462,848?

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 463,462,848, 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.

1 463,462,848
-1 -463,462,848

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 463,462,848.

Example:
1 x 463,462,848 = 463,462,848
and
-1 x -463,462,848 = 463,462,848
Notice both answers equal 463,462,848

With that explanation out of the way, let's continue. Next, we take the number 463,462,848 and divide it by 2:

463,462,848 ÷ 2 = 231,731,424

If the quotient is a whole number, then 2 and 231,731,424 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 2 231,731,424 463,462,848
-1 -2 -231,731,424 -463,462,848

Now, we try dividing 463,462,848 by 3:

463,462,848 ÷ 3 = 154,487,616

If the quotient is a whole number, then 3 and 154,487,616 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 3 154,487,616 231,731,424 463,462,848
-1 -2 -3 -154,487,616 -231,731,424 -463,462,848

Let's try dividing by 4:

463,462,848 ÷ 4 = 115,865,712

If the quotient is a whole number, then 4 and 115,865,712 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 4 115,865,712 154,487,616 231,731,424 463,462,848
-1 -2 -3 -4 -115,865,712 -154,487,616 -231,731,424 463,462,848
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689121618243236486472961441731922883465195766921,0381,3841,5572,0762,7683,1144,1524,6515,5366,2288,3049,30211,07212,45613,95316,60818,60424,91227,90633,21637,20841,85949,82455,81274,41683,71899,648111,624148,832167,436223,248297,664334,872446,496669,744804,623892,9921,339,4881,609,2462,413,8692,678,9763,218,4924,827,7386,436,9847,241,6079,655,47612,873,96814,483,21419,310,95225,747,93628,966,42838,621,90451,495,87257,932,85677,243,808115,865,712154,487,616231,731,424463,462,848
-1-2-3-4-6-8-9-12-16-18-24-32-36-48-64-72-96-144-173-192-288-346-519-576-692-1,038-1,384-1,557-2,076-2,768-3,114-4,152-4,651-5,536-6,228-8,304-9,302-11,072-12,456-13,953-16,608-18,604-24,912-27,906-33,216-37,208-41,859-49,824-55,812-74,416-83,718-99,648-111,624-148,832-167,436-223,248-297,664-334,872-446,496-669,744-804,623-892,992-1,339,488-1,609,246-2,413,869-2,678,976-3,218,492-4,827,738-6,436,984-7,241,607-9,655,476-12,873,968-14,483,214-19,310,952-25,747,936-28,966,428-38,621,904-51,495,872-57,932,856-77,243,808-115,865,712-154,487,616-231,731,424-463,462,848

More Examples

Here are some more numbers to try:

463,462,846463,462,847463,462,849463,462,850
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