Q: What are the prime factors of the number 88,046,838?

 A: 2, 3, 11, 49409

Why are those the prime factors of the number 88,046,838?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 88,046,838

88,046,838
Factor Arrows
244,023,419
Factor Arrows
314,674,473
Factor Arrows
34,891,491
Factor Arrows
31,630,497
Factor Arrows
3543,499
Factor Arrows
1149,409

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 11, 49409

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 11 x 49,409 = 88,046,838

This can also be written as 21 x 34 x 111 x 49,4091 = 88,046,838

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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