Q: What are the prime factors of the number 76,141,040?

 A: 2, 5, 23, 41381

Why are those the prime factors of the number 76,141,040?

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 76,141,040

76,141,040
Factor Arrows
238,070,520
Factor Arrows
219,035,260
Factor Arrows
29,517,630
Factor Arrows
24,758,815
Factor Arrows
5951,763
Factor Arrows
2341,381

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, 5, 23, 41381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 23 x 41,381 = 76,141,040

This can also be written as 24 x 51 x 231 x 41,3811 = 76,141,040

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


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